Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)最新文献

{"title":"SURF-Based Image Matching Method for Landing on Small Celestial Bodies","authors":"Yulang Chen, Jingmin Gao","doi":"10.2991/MASTA-19.2019.68","DOIUrl":"https://doi.org/10.2991/MASTA-19.2019.68","url":null,"abstract":"In deep space exploration missions, one of the main methods used to achieve accurate landing of small celestial body by detectors is the terrain-matching navigation method based on optical images. Image matching technology is the key technology of this method. This paper proposed a small celestial image matching method based on SURF (Speeded Up Robust Features) to improve the adhesion accuracy of small celestial bodies. Firstly, we used the SURF feature detector to perform feature point detection on the surface image of the target celestial body then, the feature points are matched by the fast nearest neighbor search method. And mismatches are eliminated with NNDR and RANSAC. Finally, under the influence of image rotation, Gaussian noise, etc., the matching results of the algorithm were simulated and analyzed. The simulation results demonstrate that the proposed method has good robustness in complex environment of small celestial and high matching accuracy. It can provide effective landmark information and attitude information for subsequent visual navigation. Introduction The scientific significance of small celestial exploration is very significant, whether it is the study of the formation and evolution of the solar system, the origin and evolution of life, or the defense against foreign celestial bodies in the future. Exploration of small celestial bodies are gradually developed to the current detection methods of landing, etc.[1] During the attachment process, the detector relies on identifying the keypoint in the image captured by the optical camera for autonomous optical navigation. Among them, the detection and matching of image features play a crucial role[2,3]. The extracted keypoint must have high uniqueness, for example, the edge of the crater on the surface of the small celestial body, the edge of the groove, etc. What’s more, the keypoint need to have scale invariance and rotation invariance. And it should have good adaptability to light changes.[4] The image feature matching process is mainly divided into three steps: keypoint detection, feature descriptor generation and feature matching. At present, the keypoint detection algorithms mainly include SIFT, SURF, ORB, KAZE, etc. SIFT (Scale-invariant feature transform) has a good image matching effect with different image scales, different brightness and different rotation, and the application range is very wide[5,6]. SURF(Speeded Up Robust Features) has the invariance of translation, scaling and rotation. At the same time, it is also relatively robust to illumination, affine and projection variability[7]. As the requirements for keypoint matching speed increase, Edward Rosten et al.[8] proposed the FAST algorithm in 2006. Then the ORB[9] and the BRISK[10] algorithm were generated on the basis of FAST. In terms of speed, ORB is the fastest among them, followed by BRISK, and the slowest is SIFT. In terms of feature extraction, especially in the context of small celestial attachment, ORB","PeriodicalId":103896,"journal":{"name":"Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)","volume":"34 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125151949","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Research on Mine Locomotive Scheduling Model and Deadlock Based on Petri Net","authors":"Wen-hong Li, Shi-chang Yan","doi":"10.2991/MASTA-19.2019.49","DOIUrl":"https://doi.org/10.2991/MASTA-19.2019.49","url":null,"abstract":"","PeriodicalId":103896,"journal":{"name":"Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127395752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"One-class Classification-based Acoustic Inspection Method for Canned Foods","authors":"Wei Han, Songbin Zhou, Chang Li, Yisen Liu, Weixin Liu","doi":"10.2991/MASTA-19.2019.70","DOIUrl":"https://doi.org/10.2991/MASTA-19.2019.70","url":null,"abstract":"It is significant to inspect whether the vacuum degree of food container meets the standard. This paper proposes to treat it as a one-class classification problem. And for this, we present a one-class classification algorithm based on semi-non-negative matrix factorization: the classifier only needs to be learned from the dataset of qualified products, and then it can be used to judge whether the vacuum of the detected product is qualified or not. The detection results show that the proposed method can not only acquire the highest detection accuracy, but also correctly distinguishes the unqualified types that are easy to be misjudged by traditional methods. Introduction The three-piece steel cans are widely used as packaging containers to store food. Generally the food containers required to be vacuum for preventing the stored food from premature deterioration. It is significant to inspect whether the vacuum degree of food container meets the standard. The vacuum degree of the container is closely related to its internal pressure. Furthermore, the sound generated from the forced vibration of the container cover reflects the stress of the container cover. This inspired people to analyze the vacuum degree of the container by the sound produced by the vibration of the container cover. Hence the acoustic technology has been widely applied to detect the vacuum degree of canned foods in recent years [1,2,3]. At present, acoustic-based vacuum inspection technology for canned food mainly adopts spectrum peak method [1,2], that is to judge the vacuum of the product is qualified or unqualified according to whether the spectral peak frequency of the sound generated from the vibration of the container cover is within the appropriate range. The traditional method relies on the artificial experience to extract spectral peak frequency as the feature for inspecting the quality of canned foods. However, the sound emitted by the vibration of an object is usually a composite signal composed of many components with multiple frequencies [4], which may result in the fact that the spectral peak frequency does not afford sufficient discrimination between abnormal and normal cans. It was found from the practical application that the spectral peak frequencies of some unqualified canned foods are close to that of the qualified ones. These cause the misjudgment of the spectrum peak method. Actually the purpose of the inspection is only to distinguish whether a product is qualified or unqualified, without having to distinguish the specific types of disqualification. Therefore this paper proposes to treat the inspection as a one-class classification problem [5]. One-class classification is the task of discerning unusual samples in data. Typically, it is treated as an unsupervised learning problem where the anomalous samples are not known a priori and it is assumed that the majority of the training dataset consists of normal data [6]. The purpose then is to learn a model that ","PeriodicalId":103896,"journal":{"name":"Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129675773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The Practice Study of Consumer Credit Risk Based on Random Forest","authors":"Cuizhu Meng, Bisong Liu, Li Zhou","doi":"10.2991/MASTA-19.2019.17","DOIUrl":"https://doi.org/10.2991/MASTA-19.2019.17","url":null,"abstract":"How to evaluate and identify the potential default risk of the borrower before issuing the loan is the basis and important link of the credit risk management of modern financial institutions. Based on the data provided by an auto finance institution, This paper mainly studies how to analyze the historical loan data of auto financial institutions with the help of the idea of unbalanced data classification, and predicts the possibility of loan default based on Random forest classification model, which provides a reference for the risk control of this institution. Introduction According to the data of China auto industry association, the sales volume of China's auto market in 2015 was 24.597.76 million units, an increase of 4.7% year on year, is the lowest growth rate since 2012. On the contrary, the growth rate of auto finance business has maintained a high level. Relevant data show that in 2014, the size of auto financial market exceeded 700 billion, and the penetration rate of auto finance exceeded 20%. In 2015, the overall size of China's auto financial market was about 800 to 900 billion, and the overall penetration rate was about 35%. Figure 1. Demostic auto market trend Introduction to Credit Risk in Auto Finance At present, in the credit risk management of auto finance companies, subjective judgment is the main way to identify and evaluate the risk, which means based on experience and full of randomness. The basic data used in the model mostly come from the qualitative judgment of credit personnel, which cannot achieve the ideal effect of risk management. In future business operation, in order to improve the technical level of credit risk management, most auto financial institutions willing focus on quantitative indicators, establish a risk control mechanism using loan risk degree model and behavioral scoring model as tools, and use mathematical statistics model to measure and analyze risks, so as to achieve a reasonable offset of risks. Under this context, this paper provides a reference for credit granting of auto financial institutions by data modeling of an auto financial company.","PeriodicalId":103896,"journal":{"name":"Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117168190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Numerical Study on Influence of Oriented Groin Angle on Hydraulic Characteristics of Curved Water Flow","authors":"Zhouyiqi Chen, Xiaohe Zheng, Liang-duo Shen","doi":"10.2991/MASTA-19.2019.40","DOIUrl":"https://doi.org/10.2991/MASTA-19.2019.40","url":null,"abstract":"After the spur dike is laid in the curved channel, the water flow characteristics are significantly different with the angle of the installation. To explore this problem, by using MIKE3 FM within 60°bend channel model of single spur dike to choose different angle to the three-dimensional numerical simulation of flow around the situation and the different angle, corner the flow field structure and surface morphology analysis, such as flow is discussed in this paper. The results show that: When the angle of the spur dike is increased, the flow field structure and surface morphology around the spur dike will change. Mainly in the area of the recirculation zone after the dam, first increase and then decrease. The transverse gradient of the water surface in the upstream area increases first and then decreases. The transverse gradient of the water surface in the downstream area decreases first and then increases. Spur dike is a commonly used building in revetment works and waterway remediation, which has the functions of protecting bank embankment, bunching water to channel, improving waterway conditions, maintaining river facies and guaranteeing diversification of aquatic environment. At present, the analysis of the characteristics of the water flow around the spur dike mainly through the river model test and numerical simulation. Kang [1] used LES (large eddy simulation) method to study and analyze the three-dimensional flow field near the rectangular spur dike in the straight channel water tank, and also analyzed the water flow structure before and after the spur dike. Outllon et al. [2] used a standard k ε−model to simulate Holtz's spur dike test and calculate the relative length of recirculation zone. Akahori et al. [3] used a nonstatic pressure three-dimensional model to simulate the flow around the spur tank test of Muneta et al. Domestic Li Zhiqin, Li Hong et al [4] used a standard k ε−model coupled with the control volume method to simulate the free water surface around the spur dike, and the results are basically consistent with the measured values. In this paper, the MIKE3 FM model is used to simulate the flow recirculation characteristics of continuous non-submerged spur dike. The calculation results are in good agreement with the experimental results of Han et al. [5]. On this basis, the three-dimensional model is used to study the influence of different angles of nonsubmerged straight spur dike on the flow field and surface morphology around the curve in the 60° curved water flow. The research results can provide reference for channel Regulation and spur design and construction which have important theoretical value and practical engineering significance. Mathematical Model Control Equation The governing equation of the three-dimensional flow mathematical model [6], as follows: u v w S x y z          . (1)","PeriodicalId":103896,"journal":{"name":"Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123120349","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A Novel Unit Selection and Unit Smoothing Method for Chinese Concatenation Speech","authors":"Xiaoxia Yang, Zhi-cheng Liu, Qilong Sun, Hao Wang","doi":"10.2991/MASTA-19.2019.47","DOIUrl":"https://doi.org/10.2991/MASTA-19.2019.47","url":null,"abstract":"This paper introduces a new approach to unit selection and unit concatenation, in which Chinese character is the smallest unit in speech corpus and at concatenation stage, speech segments are not only concatenated in phase, but also in amplitude. A conventional hybrid system is used in this paper. Firstly, LSTM were adopted for acoustic model and duration model, and prosody is predicted by Conditional Random Fields (CRFs). Secondly, without considering continuously-valued cost, we use Dynamic Time Warping (DTW) directly to select units with acoustic features such as mel-cepstrum and Fundamental Frequency (F0). At last, an improved cross-fade method taking amplitude into account is adopted in waveform concatenation to improve smoothing and very natural speech is synthesized. Introduction The recent rise of deep neural networks (DNNs) has brought an increase in performance in both automatic speech recognition (ASR) statistical text-to-speech (TTS) technology [1]. Parameter synthesis system and unit concatenation synthesis system as two mainstream speech synthesis systems also have been well-developed because of DNNs. Not like parameter synthesis method using vocoder such as WORLD to synthesize speech, concatenation synthesis method select proper units from multiple instances to achieve better flexibility quality in prosody and timbre [2]. Tonal syllable is considered to be the basic units in synthesis system for Mandarin, because of very strong co-articulation between phonemes in a same syllable and much less concatenation points between syllables [2]. Some researchers find the juncture between phonemes, between syllables, between rhythm units and between stops in Chinese, between phonemes are the strongest, the one between syllables is next stronger and the others are weaker [3,4] trains a group of syllable classifiers, which takes not continuously-valued cost into each candidate unit. [5,6] also suggest that eliminating the unacceptable units is crucial to synthesize a natural speech. LSTM guided unit selection synthesis system have achieved state-of-the-art performance in statistical parametric speech synthesis (SPSS) system due to its deep architecture and capacities to long-term dependencies across the linguistic features, which HMM doesn't possess [7,8] confirms the objective result that LSTM can better model acoustic features than DNN. So, LSTM is adopted for acoustic modeling and duration modeling. And, the current mainstream hybrid system is applied to synthesize speech, in which CART decision trees take part in the unit pre-selection and DTW is being used for selecting optimal unit. At last a new fade-in/out method taking into account amplitude is adopted in waveforms concatenation to improve smoothing. The paper is organized as follows. Section 2 discusses the preprocessing techniques for the speech corpus that is used in our method. Section 3 introduces the approach about the LSTM and CRF-based parametric synthesis system and describes ","PeriodicalId":103896,"journal":{"name":"Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134360792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Design of IT Service Platform System Construction Scheme","authors":"Wen-rong Jiang, Bo Zhang","doi":"10.2991/MASTA-19.2019.55","DOIUrl":"https://doi.org/10.2991/MASTA-19.2019.55","url":null,"abstract":"This article is based on the design of the IT service platform system construction project undertaken by Shanghai Zhenhua Heavy Industry (Group) Co., Ltd. It is to standardize the IT operation and maintenance work flow of the “LiangHua” Department, clearly define the functions of the Ministry of Chemical Industry and Chemical Industry, improve the standardization and efficiency of the operation and maintenance work, and have its own characteristics of the IT operation and maintenance management system. By expressing the facts, the article finds that when the service desk introduces this service management process, the system gradually runs stably, and the complex operation and maintenance business becomes clear and hierarchical, which greatly improves the problems such as the inability to save processing records and process records before. It also solves the problem that the second-line engineers are delayed in their work because they often answer the telephone. It not only speeds up the efficiency of operation and maintenance work, but also improves the quality of operation and maintenance work.","PeriodicalId":103896,"journal":{"name":"Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)","volume":"35 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123531752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Evaluation of Operating Efficiency of Agricultural Listed Enterprises Based on DEA-Tobit Two Stage Model","authors":"Liping Yan","doi":"10.2991/MASTA-19.2019.8","DOIUrl":"https://doi.org/10.2991/MASTA-19.2019.8","url":null,"abstract":"This paper used DEA model to evaluate the operating efficiency of sample enterprises, and analyzed the influencing factors of business efficiency through Tobit regression. The results of DEA evaluation show that the operating efficiency of the listed agricultural enterprises is low and the difference between enterprises is obvious. The Northeast comprehensive efficiency, pure technical efficiency and scale efficiency is highest; Forestry, animal husbandry, farming, fishery and agricultural service industry’s comprehensive efficiency, pure technical efficiency decrease in turn; In addition to the low scale efficiency of fisheries, the rest of the industry scale efficiency is almost the same. Tobit regression analysis shows that the age, scale of enterprises and the nature of controlling shareholders are negatively related to business efficiency, and total assets return rate and ownership concentration are positively related to business efficiency. Introduction Meng Lingjie et al. (2005) found that the average efficiency of the sample companies is low, and is influenced by factors such as the company's operation time and business direction[1].Wang Qian and Qin Fu (2009) use the DEA model to evaluate the efficiency of the 42 listed agricultural enterprises in China in 2007 and carry out the projection analysis[2].Du Chuanzhong et al. (2009) used Malmquist efficiency index to evaluate the dynamic change of enterprise's efficiency level[3].Yuan Bin et al. (2015)evaluated the input-output efficiency of 109 agricultural industrialization leading enterprises in Nanjing in 2012.It was found that the productivity of the agricultural leading enterprises was \"U\" distribution with the upgrading of the grade, and the influence factors of the efficiency difference were analyzed by the Quantile regression[4].Wang Liming and Wang Yubin (2015) concluded that the efficiency of food leading enterprises is generally low, but it shows an upward trend and the difference of the comprehensive efficiency of enterprises in different regions is obvious[5]. The above research results have played an useful reference for the correct evaluation of the efficiency level of Chinese listed agricultural enterprises and the efficiency promotion of the listed agricultural enterprises. However, most of these studies lack systematic and in-depth analysis.Based on the comprehensive evaluation of the operational efficiency of agricultural listed companies by using the DEA model, this paper makes a thorough and comprehensive analysis of the comprehensive efficiency, scale efficiency and technical efficiency of enterprises from the perspective of enterprise size, industry category and regional distribution. Data Sources and Research Methods Data Sources In this paper, 62 companies with agriculture, forestry, animal husbandry and fishery as the main business activities and engaged in the processing of agricultural and sideline products in the Shanghai and Shenzhen A stock market in 2016 are ","PeriodicalId":103896,"journal":{"name":"Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)","volume":"193 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115642029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Finite Element Formulation for Modelling a Frictional Sliding Cable Element","authors":"Qingbin Zhang, Guobin Zhang, Zhiwei Feng, Qing-quan Chen","doi":"10.2991/MASTA-19.2019.42","DOIUrl":"https://doi.org/10.2991/MASTA-19.2019.42","url":null,"abstract":"A novel sliding cable element that takes friction into account is presented to solve the analysis problem, such as the slider reefing parachute systems, the suspended cable systems and the space net systems. According to the force analysis of the slider point, a formulation is obtained, which aims to calculate the tension on both sides of the slider point using the node coordinates. Based on this formula, the principle of virtual work, the finite element method, the generalized node internal force, the body force, and the time-dependent mass matrices are derived. Two classic validation problems with analytical solutions are used for the comparison of the solutions between the analytical method and the finite element method, as well as for the comparison of the solutions with or without friction. The comparison results show that the sliding cable element is theoretically correct and that the results without considering friction are unreliable. A new approach using the sliding cable element for the accurate friction test of the space net was presented for the analysis of the two-stage projection scheme; the result indicated that the accuracy of the experimental data processing is improved. Introduction Mechanical problems from a sliding cable with friction arise in many engineering fields, such as electrical transmission lines[1, 2], protection structures[3], suspended roofing systems[4, 5] and tensioned fabric membranes[6, 7], suspended cable systems[8-10], and parachute systems[11], as well as the analysis of the space net. The sliding cable element is the core analysis method used to solve these problems. According to the main features of a cable in practical projects, numerous sliding cable elements have been proposed. The existing sliding cable elements can be divided into three-node elements and mufti-node elements. Regarding the three-node element, the central sliding node comprised of the two end node and the three-node element include the model of Aufaure[2], Zhou et al.[11]. The element proposed by Aufaure only allows sliding between two end nodes, and the element developed by Zhou allows continuous sliding with the remeshing algorithm and the searching algorithm. For the application of large-scale cable structures, the muti-node model[4, 12] was proposed to avoid assembling several single-slider elements for the analysis of systems containing multiple sliding nodes. For either the three-node element or the muti-node element, the friction is not taken into account. However, in many cases, friction has a large influence on the dynamic behavior of the system, and the frictionless model may yield unrealistic results; two validation problems have been used to show the influence of the friction in this paper. The sliding cable model proposed by Jibril[12] takes friction into account based on the unstretched length conservation constraint. However, this model ignores the inertia of the cable; when the inertia of the sliding cable cannot be igno","PeriodicalId":103896,"journal":{"name":"Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129155176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A Fast Method for Solving the Bagley-Torvik Equation with Time Delay as Delay Differential Equations of Integer Order","authors":"Yong Xu, Q. X. Liu, J. Liu","doi":"10.2991/MASTA-19.2019.32","DOIUrl":"https://doi.org/10.2991/MASTA-19.2019.32","url":null,"abstract":"A method of solving the Bagley-Torvik equation with time delay has been presented in this article, which is based on the physical meaning of that equation and thus avoid the history dependence of it. The most important thing is that the fractional term of the Bagley-Torvik equation is transformed into a solution of a partial differential equation, which is then converted into a set of ordinary differential equations afterwards. An approximation of a boundary condition of the partial differential equations is used as a crucial point. Numerical results have indicated that the computational efficiency has improved significantly. We consider a numerical example with Hopf bifurcation caused by time delay of the Bagley-Torvik equation, which shows that the presented method is computationally more efficient than the predictor-corrector (PC) algorithm with the same time step length. Introduction Time delay is an unavoidable in the realistic mechanical systems. It often leads to stability switch, changing of the control performance and other complex dynamic behaviors [1-5]. On the other hand, the Bagley-Torvik equation is a mathematical model of viscoelastically damped structures with fractional derivative. Therefore, it is meaningful to study the Bagley-Torvik equation with time delay. Lots of analytical and numerical methods have been proposed since the model was proposed. Podlubny [6] studied the Bagley-Torvik equation both analytically and numerically in his book. Diethelm et al. [7-8] presented the predictor-corrector method (PC algorithm) to solve the equation and extend it to more general cases. Ray and Bera [9] used Adomian decomposition method to solve the equation. Çenesiz [10] et al. applied the generalized Taylor collocation method. Zolfaghari et al. [11] presented the homotopy perturbation method to solve the equation. Wang and Wang [12] used α-exponential functions. Haar wavelet method [13, 14] has been applied to solving the equation. Al-Mdallal [15] used a collocation-shooting method. Raja et al. [16] used a stochastic method. Yüzbaşı [17] used the Bessel collocation method. Atanackovic and Zorica [18] used an expansion formula for fractional derivative to solve the equation. Krishnasamy and Razzaghi [19] used Taylor vector approximation, while Gülsu et al. [20] used Taylor matrix method. And Arqub et al. [21] presented a kernel algorithm to solve the equation. Although some of the methods mentioned above can be extended to solving the Bagley-Torvik equation with time delay, there are still lots of problems in these methods, such as low computational efficiency. However, some studies on the physical meaning of the equation have provided us with a good deal of enlightenment. At first, Torvik and Bagley [5] have introduced the physical background of this equation. Fitt et al. [22] have also used it to deal with an engineering problem. Moreover, Xu et al. [23] have used it reversely to transform the Bagley-Torvik equation into ordinary differ","PeriodicalId":103896,"journal":{"name":"Proceedings of the 2019 International Conference on Modeling, Analysis, Simulation Technologies and Applications (MASTA 2019)","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127879932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}