{"title":"Comparative analysis and determination of applicable range for free vibration of laminated cylindrical shells considering multiple shell theories and nine boundary conditions","authors":"Wujiu Pan, Qilong Wu, Jian Li, Heng Ma, Junyi Wang, Jianwen Bao, Xianjun Zeng, Peng Nie","doi":"10.1007/s00419-024-02711-5","DOIUrl":"10.1007/s00419-024-02711-5","url":null,"abstract":"<div><p>As the key structure of aero-engine, the prediction\u0000and analysis of the dynamic characteristics of the casing is of\u0000great significance for evaluating the safety of the structure and\u0000preventing resonance. Based on Love shell theory, Donnell shell\u0000theory and Soedel shell theory, the prediction model of\u0000three-layered thin-walled cylindrical shell is established by energy\u0000method and solved and analyzed by Rayleigh Ritz method. This paper\u0000investigates nine classical boundary conditions including simple\u0000support–simple support (S–S), fixed support–fixed support\u0000(C–C), free–free (F–F), sliding–sliding (SL–SL), fixed\u0000support–simple support (C-S), fixed support–free (C–F), fixed\u0000support–sliding (C–SL), free–simple support (F–S),\u0000free–simple support <span>(text{(F-)})</span> and free–sliding (F-SL). In this paper,\u0000the natural frequency values of the three models are solved under\u0000different length–diameter ratio, thickness–diameter ratio and\u0000circumferential wave number. The accuracy of the models established\u0000in this paper is verified by comparison with published papers, and\u0000the differences and application ranges of the solution results of\u0000different models are given. The research of this paper provides\u0000useful references for the design and optimization of aero-engine\u0000cylindrical shell.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142789333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Spatial behavior in an elastic problem with non-positive definite tensors","authors":"José R. Fernández, Ramón Quintanilla","doi":"10.1007/s00419-024-02732-0","DOIUrl":"10.1007/s00419-024-02732-0","url":null,"abstract":"<div><p>The aim of this work is to obtain an alternative of the Phragmén-Lindelöf type for homogeneous elastic materials when the elastic tensor is not positive definite. Indeed, it is necessary to impose some conditions to this tensor in order to prove the estimates. We propose several examples of elastic tensors which are not positive definite but satisfying the above conditions. Finally, the extensions to the three-dimensional and thermoelastic cases are also considered.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142778338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The role of partial elastic foundations on the bending and vibration behaviors of bi-directional hybrid functionally graded nanobeams using FEM","authors":"Van-Chinh Nguyen, Huu-Quoc Tran, Van-Vinh Pham","doi":"10.1007/s00419-024-02708-0","DOIUrl":"10.1007/s00419-024-02708-0","url":null,"abstract":"<div><p>In this paper, for the first time, the static bending and free vibration of bi-directional functionally graded (2D-FG) nanobeams partially resting on an elastic foundation are investigated. The nanobeams are composed of four material components and exhibit mechanical characteristics that vary smoothly and continuously along the thickness and length of the beam according to a power law. For the purpose of analysis, a finite element model is established using a two-node beam element, with each node having five degrees of freedom, combining Lagrangian and Hermitian shape functions. Based on a higher-order shear deformation theory and nonlocal theory, the governing equations of the 2D-FG nanobeams are derived using Hamilton's principle. Through the comparisons of the results obtained from the model with published results in the open literature, the accuracy and reliability of the present model are confirmed. Therefore, the proposed algorithm is compatible for predicting mechanical behaviors of nanobeams with arbitrary material distribution, various boundary conditions and complex loads. New numerical results are conducted to assess the influence of parameters such as volume fraction indexes, nonlocal parameters, foundation coefficients, length-to-height ratio and boundary conditions on the bending static and free vibration behaviors of the 2D-FG nanobeams. Especially, the role of the partial elastic foundations on the bending and vibration of the 2D-FG nanobeams is extensively investigated.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142761982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The nonlinear post-buckling behavior of FG cylindrical copper shell reinforced with carbon nanotubes with a polymer core","authors":"Masoud Ajri","doi":"10.1007/s00419-024-02710-6","DOIUrl":"10.1007/s00419-024-02710-6","url":null,"abstract":"<div><p>This research analyzes the buckling and post-buckling behavior of composite cylindrical shells with a polymer core and carbon nanotube-reinforced inner and outer copper layers with functional distribution under axial compressive loading. For this purpose, the differential equations governing the nonlinear buckling behavior of these shells were extracted while considering large deformations. Employing the Ritz energy method and considering the Airy function, analytical relations for the buckling load and the critical stress of the structure are extracted. In the following, considering different distributions, the equivalent mechanical properties of the composite structure have been calculated using the law of mixtures. Finally, the effect of different parameters, such as distribution types and volume fraction of nanotubes, on nonlinear buckling loads and post-buckling behavior of these materials is investigated. Results show that increasing the volume fraction of carbon nanotubes reduces the change in the critical length of the cylindrical shell, which happens as a result of increasing Young's modulus and the equivalent stiffness of the shell.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Crack shape evolution of single edge through cracked specimens under mode-I loading","authors":"Yongfang Li, Mingming Ren, Hao Chen, Yali Yang, Sha Xu, Ruoping Zhang","doi":"10.1007/s00419-024-02705-3","DOIUrl":"10.1007/s00419-024-02705-3","url":null,"abstract":"<div><p>Crack shape evolution of single edge through cracked specimens under mode-I loading is studied by means of theoretical analysis, numerical simulation and experimental investigation. Firstly, based on the Paris formula and taking into account the effective stress intensity factor range ratio (<i>U</i>), which characterizes the degree of crack closure, a modified crack growth rate equation is derived. Then, taking the 10 mm thick Al 6061-T6 alloy plate as an example, numerical simulation analysis is conducted. The shape change of crack front during crack propagation is characterized by tunnel depth and surface angle. Finally, fatigue crack growth test is conducted adopting the crack front marking technique to validate the simulation results. The results indicate that the crack growth rate is mainly controlled by the maximum stress intensity factor (<i>K</i><sub>max</sub>) and the <i>U</i> under a certain stress ratio (<i>R</i>). The crack propagation mainly includes two stages, the initial crack propagation stage and the stable crack propagation stage. During the initial crack propagation stage, the crack growth rate in the central layer is greater than that in the surface layer. After approximately 4 mm of crack growth in the central layer, the crack propagation enters the stable stage. In the stable crack propagation stage, the growth rate of the entire crack front is similar, and the shape of the crack front remains almost unchanged.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737246","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
X. Fagan, J. -J. Sinou, S. Besset, L. Jézéquel, A. Hamdi
{"title":"The influence of disks deformation on the stability analysis of an aircraft braking system","authors":"X. Fagan, J. -J. Sinou, S. Besset, L. Jézéquel, A. Hamdi","doi":"10.1007/s00419-024-02715-1","DOIUrl":"10.1007/s00419-024-02715-1","url":null,"abstract":"<div><p>Friction-induced vibration emanating from aircraft braking system is a key issue in the design phase, due to the significant damage it can cause to the brake structure. Although the problem of unstable vibrations in aircraft braking systems has been studied by a number of researchers, the suitability of the mechanical modeling strategy for predicting instabilities remains an open problem. The need for relevant numerical models is therefore essential in order to be as predictive as possible during the design phase. Preliminary studies must therefore be carried out to validate or invalidate the modeling hypotheses traditionally used. Indeed the stability analysis of an aircraft braking system is performed in order to study a low-frequency instability. An industrial model is used, hence reducing the number of degrees of freedom (DoF) is of utmost importance in order to have reasonable computation times. When studying low-frequency phenomena, this can be achieved by neglecting the deformations of the disks. However, no current study has shown that this hypothesis is realistic. So the aim of this paper is to assess the effect of the rigidity hypothesis on the results predicted by the stability analysis. In order to do so, the stability analysis results of a model with rigid disks and one with non-rigid disks are compared, with a particular attention on the main instability phenomenon. It is found that considering rigid disks has a very limited influence on the frequency of the low-frequency eigenmodes, but it over-predicts the real part of the unstable eigenmode. Besides, a component mode synthesis (CMS) technique is shown to reduce significantly the size of the non-rigid disks model while ensuring a satisfying precision regarding eigenmodes prediction.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-024-02715-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Peeling and large deformation of the magneto-responsive slender sheet adhered by a liquid film","authors":"Yizhe Zhu, Gongqi Cao, Xiaoxuan Ding, Shiyang Liu, Yuchen Jin, Jianlin Liu","doi":"10.1007/s00419-024-02726-y","DOIUrl":"10.1007/s00419-024-02726-y","url":null,"abstract":"<div><p>Intelligent magneto-responsive structures are widely used due to their fast response speed and noncontact control. In this study, the peeling behavior of a slender magneto-responsive sheet under the magnetic field's action is investigated experimentally and theoretically. Firstly, two identical magneto-responsive sheets, with the liquid film adhesion and the absence of the liquid film respectively, are analyzed under the control of a cylindrical magnet. In addition, the peeling process is abstracted via the classical elastica model, and the expression of the potential energy functional is established. The approximate solutions of the deflection and the adhesion length of the magneto-responsive sheets during the peeling process are obtained based on the Rayleigh–Ritz method. The effects of the magnetic field generated by cylindrical magnets and the work of adhesion on the maximum deflection and adhesion length of magneto-responsive sheets are further predicted. The theoretically approximate solution agrees very well with the experimental data. These findings can provide new implications in a wide range of industrial areas, such as medical microsensors and intelligent structures for drug delivery.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737248","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Tire vibration analysis of three-dimensional flexible ring with brush model under static contact conditions by using frequency-based substructuring","authors":"Masami Matsubara, Akira Saito, Chang Po-Siang, Shozo Kawamura","doi":"10.1007/s00419-024-02725-z","DOIUrl":"10.1007/s00419-024-02725-z","url":null,"abstract":"<div><p>The use of a simplified physical model of the tire of road vehicles is an efficient and simultaneous method to study the specifications of the entire chassis, including the tire specifications. Therefore, it is important to develop a simplified physical model that can be used in the early design phase when detailed computer-aided design data are not available. In this study, a vibration analysis of tires in road contact is described using frequency-based substructuring in a three-dimensional elastic ring model of a tire that includes a brush model simulating the tread rubber. By modeling the brush as a contact spring between the tire and the road surface, the natural frequencies and mode shapes of the tire under load conditions can be calculated using point-coupled three-way contact spring constraints. The experimental results show that the natural frequency changes significantly with road contact and does not depend on the vertical load. The theoretical analysis also showed that the natural frequency does not change when the stiffness of the contact spring is large enough to limit the displacement of the road contact, which is consistent with the experimental results. Unlike previous studies, this method calculates the mode shape with road contact based on the mode shape without road contact; therefore, the required model parameters can be determined based on the experimental modal analysis for the free-free condition.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00419-024-02725-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Thanh Q. Nguyen, Tu B. Vu, Niusha Shafiabady, Thuy T. Nguyen, Phuoc T. Nguyen
{"title":"Loss factor analysis in real-time structural health monitoring using a convolutional neural network","authors":"Thanh Q. Nguyen, Tu B. Vu, Niusha Shafiabady, Thuy T. Nguyen, Phuoc T. Nguyen","doi":"10.1007/s00419-024-02712-4","DOIUrl":"10.1007/s00419-024-02712-4","url":null,"abstract":"<div><p>This study presents a novel approach to real-time structural health monitoring employing convolutional neural networks (CNN) to calculate a loss factor that measures energy dissipation in structures. As mechanical properties degrade over time due to service loads, timely detection of defects is crucial for ensuring safety. The loss factor, derived from the vibration energy spectrum, is used to identify structural changes, distinguishing between normal operation, the presence of defects, and noise interference. Using large data from real-time vibration signals, this method enables continuous and accurate monitoring of structural integrity. The proposed CNN model outperforms traditional models such as multilayer perceptron and long short-term memory, demonstrating superior accuracy in detecting early-stage defects and predicting structural changes. Applied to the Saigon Bridge, the method offers valuable insight into long-term structural behavior and provides a reliable tool for proactive maintenance and safety management. This research contributes to a machine learning-based solution for improving structural health monitoring systems in critical infrastructure.</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Wavelet analysis of DPL bioheat transfer model for cylindrical tissues during thermal ablation","authors":"Pappu Kumar, Dinesh Kumar, Arvind Kumar Yadav, Rakhi Tiwari","doi":"10.1007/s00419-024-02707-1","DOIUrl":"10.1007/s00419-024-02707-1","url":null,"abstract":"<div><p>This paper numerically investigates the thermal behavior in a cylindrical tissue under non-Fourier boundary condition with dual-phase-lag bioheat transfer problem during thermal ablation. A hybrid method based on Legendre wavelets and finite difference approach are applied to determine an approximate analytic solution of the current problem. The correctness and feasibility of the present numerical scheme has been shown by comparing with exact solution under particular case. It has been observed that lower blood temperature gives rise to lower tissue temperature at the thermal ablation position. So, in order to get precise thermal data for treatment, blood temperature of particular patient must be taken into consideration for patient specific treatment. One of the main objective of this article is to minimize thermal damage outside the thermal ablation position. Our study demonstrates that outside the tumor position, normothermia condition exists, throughout the treatment time that reduces the risk of infection, minimizes thermal damages and ensure that patient feel comfortably well during the period. The specific heating plays a key role in the success of thermal ablation treatment and selection of Gaussian distribution source term helps to achieve the purpose. The radius of heat source, effective radius of heat flux and maximum heat flux generated are the important parameters of Gaussian heat source and computed thermal data strongly depends on them. The variation in the values of radius of heat source allows us specific heating(heating at a particular position) in the thermal ablation process so that the specific tumor can be treated. Both effective radius of heat flux and maximum heat flux applied gives the control of temperature at the thermal ablation position. Moreover, temperature rise at the tumor location is uniform in case of maximum heat flux applied. The present analysis will be helpful for medical community for better use of thermal data during thermal ablation.\u0000</p></div>","PeriodicalId":477,"journal":{"name":"Archive of Applied Mechanics","volume":"95 1","pages":""},"PeriodicalIF":2.2,"publicationDate":"2024-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142737260","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}