Volume 5: Dynamics, Vibration, and Control最新文献

{"title":"Did S.P. Timoshenko and P. Ehrenfest Overestimate the Importance of the Fourth-Order Time Derivative in Their Theory of Beams?","authors":"I. Elishakoff","doi":"10.1115/imece2022-95836","DOIUrl":"https://doi.org/10.1115/imece2022-95836","url":null,"abstract":"\u0000 In this study we investigate the importance of the fourth order time derivative that appears in the equations derived by Jacques Antoine Charles Bresse in 1859, as well as in equations that were derived by Stephen Prokofievich Timoshenko and Paul Ehrenfest during years 1912–1913 and reported by Timoshenko in the 1916 book on theory of elasticity in the Russian language and then in two papers dated 1920 and 1921, in English.","PeriodicalId":302047,"journal":{"name":"Volume 5: Dynamics, Vibration, and Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131969504","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":"Nonlinear Mapping Lyapunov Exponents-Based KNN Analysis for Fault Classification","authors":"Md Saifuddin Ahmed Atique, C. Yang","doi":"10.1115/imece2022-95739","DOIUrl":"https://doi.org/10.1115/imece2022-95739","url":null,"abstract":"\u0000 Rotating machinery are widely used in industry. Machine failures may result in costly downtime. Without effective fault diagnosis, it is impossible to predict the lead-time to failure. Therefore, conducting effective fault detection and identification are desirable and imperative. However, diagnosing faults in rotating machinery is often a labor-intensive and time-consuming practice. This makes conducting effective and efficient fault diagnosis a challenge for technicians and plant maintainers.\u0000 This paper presents a Lyapunov Exponents-Based K-Nearest Neighbor (LE-Based KNN) analysis method for detecting and classifying rotating machinery fault. To distinguish different machine conditions, Lyapunov exponents (LEs) calculated using nonlinear mapping were selected as features in KNN analysis for classifying the signature of different faults from the machine vibration. The LEs from forty-four vibration recordings served as training dataset for KNN analysis, and the machine health conditions were grouped into four categories. Data from unknown machinery health condition were used as testing data. The results show that proposed LE-Based KNN analysis method can achieve reliable fault classification on operating condition. The LE-Based KNN analysis method has potential improvement in classification with modified KNN and optimized feature selection. This approach can be used to acquire a complete machine vibration profile that may predict occurrence of damage in different parts of machine and help to detect and identify the defective machineries at early stages.","PeriodicalId":302047,"journal":{"name":"Volume 5: Dynamics, Vibration, and Control","volume":"190 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128190052","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":"Quadcopter Control Using Single Network Adaptive Critics","authors":"A. Velázquez, Lei Xu, Tohid Sardarmehni","doi":"10.1115/imece2022-96834","DOIUrl":"https://doi.org/10.1115/imece2022-96834","url":null,"abstract":"\u0000 In this paper, optimal tracking control is found for an input-affine nonlinear quadcopter using Single Network Adaptive Critics (SNAC). The quadcopter dynamics consists of twelve states and four controls. The states are defined using two related reference frames: the earth frame, which describes the position and angles, and the body frame, which describes the linear and angular velocities. The quadcopter has six outputs and four controls, so it is an underactuated nonlinear system. The optimal control for the system is derived by solving a discrete-time recursive Hamilton-Jacobi-Bellman equation using a linear in-parameter neural network. The neural network is trained to find a mapping between a target costate vector and the current states. The network’s weights are iteratively trained using the least-squares approximation method until the maximum number of iterations or convergence is reached, and training begins at the final time and proceeds backward to the initial time. The trained neural controller applies online optimal feedback control that tracks a trajectory, minimizes control effort, and satisfies the optimality condition. The SNAC method provides a controller that can handle all initial conditions within the domain of training and all times less than the training’s final time.","PeriodicalId":302047,"journal":{"name":"Volume 5: Dynamics, Vibration, and Control","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131198417","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":"Investigation of Water Effects on Surface Acoustic Wave Transmission","authors":"Luyu Bo, Jiali Li, Xinyu Zhang, Teng Li, Zhenhua Tian","doi":"10.1115/imece2022-96673","DOIUrl":"https://doi.org/10.1115/imece2022-96673","url":null,"abstract":"\u0000 Corrosion is a typical damage type in metallic structures. Free water on metallic structures can gradually lead to corrosion damage. In this study, we investigated free water sensing based on surface acoustic waves (SAWs). The fabricated SAW device consists of two interdigital transducers (IDTs) in a pitch-catch configuration on a lithium niobate (LiNbO3) piezoelectric substrate. Finite element simulations of SAWs generated by IDTs and SAW-droplet interaction were performed. To unveil the effects of a water droplet on SAWs and understand the mechanism of our SAW device, we simulated multiple cases with different volumes of water droplets. The simulation results show that the transmission amplitude gradually decreases with the water volume increase. A proof-of-concept experiment was performed by using a fabricated SAW device to detect a water droplet on the substrate surface. The experimental results show a similar trend as that of the finite element simulations.","PeriodicalId":302047,"journal":{"name":"Volume 5: Dynamics, Vibration, and Control","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131215741","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":"Estimation of the Response, Power Spectra, and Whirling Patterns Generated From Mud Circulating Along the Annulus During Drilling Procedures: An Alternative Mathematical Representation via Finite Element Modelling","authors":"Eleazar Marquez","doi":"10.1115/imece2022-95577","DOIUrl":"https://doi.org/10.1115/imece2022-95577","url":null,"abstract":"\u0000 In this study, an alternative mathematical representation of a drill-string is proposed to provide an alternative assessment on BHA dynamic alterations. Lateral vibrations remain the focal point of drill-string breakdowns given their high frequency characterization and ability to deviate perforation trajectories from the subsurface target. In this paper, the proposed model consists of an anisotropic rotor subjected to distinct RPMs, an axial force, and a bidirectional harmonic excitation with specified amplitude and assorted duration to simulate annulus motion generated from the mud fluid. In this regard, Euler-Bernoulli beam theory was adopted to establish a complete MDOF mathematical expression and thus model an exclusive section of the BHA. Parameter identification implied incorporating a finite elements methodology, where the flexibility of the drill-string and elastic characteristics of the well-bore were accounted for. Particularly, a two-node element containing two displacements and two rotations per node was adopted to describe the rotor as a uniform, elastic beam. Thus, it is concluded from the proposed mathematical model that the harmonic excitation imposed along the annulus is introducing subharmonic frequencies and a potential (unmodeled) nonlinearity into the system.","PeriodicalId":302047,"journal":{"name":"Volume 5: Dynamics, Vibration, and Control","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123035888","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":"Gearbox Vibration Analysis Using a Spectrogram and Power Spectrum Approach","authors":"Sufyan A. Mohammed, Nouby M. Ghazaly, J. Abdo","doi":"10.1115/imece2022-95218","DOIUrl":"https://doi.org/10.1115/imece2022-95218","url":null,"abstract":"\u0000 Vibration analysis is essential in rotating machinery fault diagnosis. As a vibration contains the dynamic information of a machine, improvement based on analysis has an effective role in predictive and preventive maintenance. In the present paper, the short Fourier transform is applied to determine the frequency variation of a gearbox signal with time due to different loads and driver speeds. In addition, the power spectral density (PSD) is used to represent the randomness of the signal since many frequencies occur simultaneously. The gearbox health condition is measured, and signal fault is simulated as tooth breakage for five cases: 0% (healthy), 25%, 50%, 75%, and 100% (complete tooth breakage). The obtained results proved that it is more powerful to use both spectrograms and PSD for gearbox fault diagnosis. This method is also improved with the ability to distinguish gearbox vibration signals for anomaly detection.","PeriodicalId":302047,"journal":{"name":"Volume 5: Dynamics, Vibration, and Control","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115705883","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":"An Artificial Neural Network Model for Multiple Piezoelectric Actuation of Plates","authors":"Linjin Jiang, Pengcheng Yu, M. Fan","doi":"10.1115/imece2022-94673","DOIUrl":"https://doi.org/10.1115/imece2022-94673","url":null,"abstract":"\u0000 With the increasing use of piezoelectric smart structures in various fields, the search for further optimization of the devices is inevitable. In this work, both artificial neural network (ANN) models and finite element models were used to explore the effect of piezoelectric patch size and numbers on the first order natural frequency and transverse displacement of a plate. The research objective is to investigate the efficiency and factors influencing the actuation of thin plate structures under single/multi-channel piezoelectric control conditions. A Finite element model built with COMSOL was used to analyze the effect of structural parameters, including the number of channels and other key parameters on the control of the main natural frequencies of the thin plate structure. With the obtained data from finite element simulations, an ANN model was used to predict the dynamic response of the plate, including the first-order natural frequency and displacement amplitude for finite element verification, so that structural optimization design can be achieved. A well-trained neural network model can quickly and efficiently predict the displacement amplitude and natural frequency of a piezoelectric driven rectangular plate. This study provides a convenient and effective method for predicting the dynamic response of a piezoelectric drive plate considering the number of piezoelectric patch channels and size effects.","PeriodicalId":302047,"journal":{"name":"Volume 5: Dynamics, Vibration, and Control","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125143524","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":"Application of Second-Order Boundary Conditions in the Vibrations of Beams With Attached Lumped Mass Under Axial Force","authors":"P. Hassanpour","doi":"10.1115/imece2022-94761","DOIUrl":"https://doi.org/10.1115/imece2022-94761","url":null,"abstract":"\u0000 This paper addresses the exact solution of a beam’s free vibrations with a concentrated mass within its intervals when the beam undergoes an axial loading. The Euler-Bernoulli beam theory is used as the basis of the model of the beam. This problem has been extensively studied before in the literature. The main contribution of this paper is in its novel approach to treating the effect of the concentrated mass and solving the resulting governing equation of motion. The effect of the concentrated mass is incorporated into the governing partial differential equation (PDE), rather than being treated as a boundary condition. To this end, the effect of a distributed transverse force, a distributed moment, and axial loading is included in the governing PDE. Then, the properties of Dirac’s delta function is used to represent the attached concentrated mass as a displacement-dependent concentrated transverse force. As a results, the PDE has the delta function as a coefficient of one of its terms. This type of equations are traditionally solved in frequency domain using Laplace transforms. In this paper, the technique to solve this PDE in time domain is presented. It has been demonstrated that this technique intrinsically leads to the application of the second-order theory. The exact natural frequencies and mode shapes of vibration of the system are determined by solving the PDE for free vibrations.","PeriodicalId":302047,"journal":{"name":"Volume 5: Dynamics, Vibration, and Control","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121059936","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":"Multibody Representation on the Coupling Between Wave Generator and Flexspline in Strain Wave Gears","authors":"Andrea Raviola, A. Bertolino, Andrea De Martin, Roberto Guida, Stefano Mauro, M. Sorli","doi":"10.1115/imece2022-94422","DOIUrl":"https://doi.org/10.1115/imece2022-94422","url":null,"abstract":"\u0000 Strain wave gears are widely employed in aerospace and industrial applications due to their capability to obtain a high reduction ratio with low backlash through light and compact design. Since this component is mostly used in applications requiring repeatable and high precision movements, its health assessment is crucial in assuring the required performance and avoiding unexpected failures. A detailed model of the gear, able to replicate its behavior in both nominal and degraded operating conditions, would allow simulating the presence of faults and to study their effects on the behavior of the machine on which the faulty component is mounted. The present paper describes how the initial conditions of a high-fidelity gear model can be obtained by simulating the insertion of the wave generator inside the flexspline. To do this, each tooth has been modeled as a single body with its own dynamics, connected to the surrounding teeth by equivalent visco-elastic models. The final deformed configuration of the flexspline is not imposed a priori, as commonly done, but it is directly obtained by the contact with the wave generator outer race. The simulation outcomes have been then validated with experimental data from the literature.","PeriodicalId":302047,"journal":{"name":"Volume 5: Dynamics, Vibration, and Control","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126907102","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":"Sliding Mode Control of a Quad-Copter for Autonomous Trajectory Tracking","authors":"Daniel Wood, M. Selekwa","doi":"10.1115/imece2022-95466","DOIUrl":"https://doi.org/10.1115/imece2022-95466","url":null,"abstract":"\u0000 Unmanned air vehicles or drones have become ubiquitous in our daily lives; they are deployed in performing many tasks from dangerous military missions to simple recreation activities. One air vehicle that has become very popular is the quad-copter driven by four vertical and parallel propellers. Today quad-copters are deployed in many video recording and remote monitoring almost everywhere in the world. One area of interest for quad-copters has been in farming operations; these vehicles are used in farming operations for not only aerial monitoring of soil nitrogen levels but many other farm monitoring operations. One common aspect of most quad-copters is that they are teleoperated by the user, i.e., most of them are not yet fully autonomous. There must be a remote pilot who is connected to the quad-copter by a video link so that he/she can control the maneuver of the vehicle along the intended path. This paper intends to show that a quad-copter can be programmed to run autonomously along a predetermined trajectory by using sliding mode control strategy. Since trajectories in most farms are clearly well known in advance, then they can be programmed into the controller for the quad-copter to autonomously track. The design process involves using the intended trajectory to define the 3-D sliding surface and then letting the quad-copter controller switch about that surface while keeping the vehicle in the target trajectory. The workspace is defined as a 3-D space where the sliding surface is defined by fitting weighted spline functions on the coordinates of the intended trajectory to define the stable sliding surface whose stability lever increases as the vehicle moves towards the target point. Preliminary results compare the trajectories followed by the quad-copter and the intended trajectories by using the mean square deviation. As would be expected, the performance depends heavily on the speed of the quad-copter; higher speeds on sharp curvature are associated with large tracking errors than low speeds on similar curvatures, while the performance on straight line paths was considerably good. This is most likely due to the switching speed because it seems that higher speeds should be associated with higher switching speeds also. The future work intends to study if parameterizing the 3-D splines using speed and time can improve the tracking performance where the switching rate will be made to be proportional to the number of spline functions that define the trajectory irrespective of the speed of the quad-copter.","PeriodicalId":302047,"journal":{"name":"Volume 5: Dynamics, Vibration, and Control","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126921065","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}