Applied Mathematics and Mechanics-English Edition最新文献_第3页

A higher-order porous thermoelastic problem with microtemperatures 微温度下的高阶多孔热弹性问题

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-10-31 DOI: 10.1007/s10483-023-3049-8

J. R. Fernández, R. Quintanilla

引用次数: 0

The roles of polymer-graphene interface and contact resistance among nanosheets in the effective conductivity of nanocomposites 聚合物-石墨烯界面和纳米片间接触电阻在纳米复合材料有效导电性中的作用

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-10-31 DOI: 10.1007/s10483-023-3046-9

Y. Zare, K. Y. Rhee

{"title":"The roles of polymer-graphene interface and contact resistance among nanosheets in the effective conductivity of nanocomposites","authors":"Y. Zare, K. Y. Rhee","doi":"10.1007/s10483-023-3046-9","DOIUrl":"10.1007/s10483-023-3046-9","url":null,"abstract":"<div><p>The effective conductivity of graphene-based nanocomposites is suggested by the characteristics of polymer-filler interfacial areas as well as the contact resistance between the neighboring nanosheets. The interfacial properties are expressed by the effective levels of the inverse aspect ratio and the filler volume fraction. Moreover, the resistances of components in the contact regions are used to define the contact resistance, which inversely affects the effective conductivity. The obtained model is utilized to predict the effective conductivity for some examples. The discrepancy of the effective conductivity at various ranks of all factors is clarified. The interfacial conductivity directly controls the effective conductivity, while the filler conductivity plays a dissimilar role in the effective conductivity, due to the incomplete interfacial adhesion. A high operative conductivity is also achieved by small contact distances and high interfacial properties. Additionally, big contact diameters and little tunnel resistivity decrease the contact resistance, thus enhancing the effective conductivity.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 11","pages":"1941 - 1956"},"PeriodicalIF":4.4,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"71910742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Nonlinear dynamic response and stability analysis of the stapes reconstruction in human middle ear 中耳镫骨重建的非线性动力学响应及稳定性分析

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-30 DOI: 10.1007/s10483-023-3037-9

Lele Wang, Liang Wang, Yueting Zhu, Zhanli Liu, Yongtao Sun, Jie Wang, Hongge Han, Shuyi Xiang, Huibin Shi, Qian Ding

{"title":"Nonlinear dynamic response and stability analysis of the stapes reconstruction in human middle ear","authors":"Lele Wang, Liang Wang, Yueting Zhu, Zhanli Liu, Yongtao Sun, Jie Wang, Hongge Han, Shuyi Xiang, Huibin Shi, Qian Ding","doi":"10.1007/s10483-023-3037-9","DOIUrl":"10.1007/s10483-023-3037-9","url":null,"abstract":"<div><p>Stapes fracture causes hearing loss and instability in the middle ear hearing system (MEHS). The material used in the stapes reconstruction restores stapes, but the effects of the nonlinear material parameters on the stability of the MEHS are still unknown. To address this challenge, the nonlinear dynamic response and stability of the stapes reconstruction are investigated using a multi-degree-of-freedom mechanical model. The material parameters of the implant are tentatively determined by analyzing the natural frequencies of the undamped system. The dynamical properties of the MEHS are characterized under different external excitations. The approximate solution of the MEHS near the resonant frequency is derived through the multiple-time-scale method (MTSM). The results show that the nonlinear stiffness of the material has little influence on the MEHS in the healthy state, but it causes resonant phenomena between the ossicle and the implant in the pathological state.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 10","pages":"1739 - 1760"},"PeriodicalIF":4.4,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-3037-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50055557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Approximate solutions to fractional differential equations 分数阶微分方程的近似解

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-30 DOI: 10.1007/s10483-023-3041-9

Yue Liu, Zhen Zhao, Yanni Zhang, Jing Pang

引用次数: 0

Bending and wave propagation analysis of axially functionally graded beams based on a reformulated strain gradient elasticity theory 基于应变梯度弹性理论的轴向功能梯度梁弯曲和波传播分析

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-30 DOI: 10.1007/s10483-023-3042-6

Shaopeng Wang, Jun Hong, Dao Wei, Gongye Zhang

{"title":"Bending and wave propagation analysis of axially functionally graded beams based on a reformulated strain gradient elasticity theory","authors":"Shaopeng Wang, Jun Hong, Dao Wei, Gongye Zhang","doi":"10.1007/s10483-023-3042-6","DOIUrl":"10.1007/s10483-023-3042-6","url":null,"abstract":"<div><p>A new size-dependent axially functionally graded (AFG) micro-beam model is established with the application of a reformulated strain gradient elasticity theory (RSGET). The new micro-beam model incorporates the strain gradient, velocity gradient, and couple stress effects, and accounts for the material variation along the axial direction of the two-component functionally graded beam. The governing equations and complete boundary conditions of the AFG beam are derived based on Hamilton’s principle. The correctness of the current model is verified by comparing the static behavior results of the current model and the finite element model (FEM) at the micro-scale. The influence of material inhomogeneity and size effect on the static and dynamic responses of the AFG beam is studied. The numerical results show that the static and vibration responses predicted by the newly developed model are different from those based on the classical model at the micro-scale. The new model can be applied not only in the optimization of micro acoustic wave devices but also in the design of AFG micro-sensors and micro-actuators.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 10","pages":"1803 - 1820"},"PeriodicalIF":4.4,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-3042-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50055553","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Vertical vibration control using nonlinear energy sink with inertial amplifier 利用惯性放大器的非线性能量汇控制垂直振动

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-30 DOI: 10.1007/s10483-023-3036-8

Weixing Zhang, Wei Zhang, Xiangying Guo

{"title":"Vertical vibration control using nonlinear energy sink with inertial amplifier","authors":"Weixing Zhang, Wei Zhang, Xiangying Guo","doi":"10.1007/s10483-023-3036-8","DOIUrl":"10.1007/s10483-023-3036-8","url":null,"abstract":"<div><p>To reduce additional mass, this work proposes a nonlinear energy sink (NES) with an inertial amplifier (NES-IA) to control the vertical vibration of the objects under harmonic and shock excitations. Moreover, this paper constructs pure nonlinear stiffness without neglecting the gravity effect of the oscillator. Both analytical and numerical methods are used to evaluate the performance of the NES-IA. The research findings indicate that even if the actual mass is 1% of the main oscillator, the NES-IA with proper inertia angles and mass distribution ratios can still effectively attenuate the steady-state and transient responses of the main oscillator. Nonlinear stiffness and damping also have important effects. Due to strongly nonlinear factors, the coupled system may exhibit higher branch responses under harmonic excitation. In shock excitation environment, the NES-IA with a large dynamic mass can trigger energy capture of both main resonance and high-frequency resonance. Furthermore, the comparison with the traditional NES also confirms the advantages of the NES-IA in overcoming mass dependence.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 10","pages":"1721 - 1738"},"PeriodicalIF":4.4,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-3036-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50055558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Closed-form steady-state solutions for forced vibration of second-order axially moving systems 二阶轴向运动系统强迫振动的闭合稳态解

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-30 DOI: 10.1007/s10483-023-3035-5

Jingming Fan, Bo Chen, Yinghui Li

{"title":"Closed-form steady-state solutions for forced vibration of second-order axially moving systems","authors":"Jingming Fan, Bo Chen, Yinghui Li","doi":"10.1007/s10483-023-3035-5","DOIUrl":"10.1007/s10483-023-3035-5","url":null,"abstract":"<div><p>Second-order axially moving systems are common models in the field of dynamics, such as axially moving strings, cables, and belts. In the traditional research work, it is difficult to obtain closed-form solutions for the forced vibration when the damping effect and the coupling effect of multiple second-order models are considered. In this paper, Green’s function method based on the Laplace transform is used to obtain closed-form solutions for the forced vibration of second-order axially moving systems. By taking the axially moving damping string system and multi-string system connected by springs as examples, the detailed solution methods and the analytical Green’s functions of these second-order systems are given. The mode functions and frequency equations are also obtained by the obtained Green’s functions. The reliability and convenience of the results are verified by several examples. This paper provides a systematic analytical method for the dynamic analysis of second-order axially moving systems, and the obtained Green’s functions are applicable to different second-order systems rather than just string systems. In addition, the work of this paper also has positive significance for the study on the forced vibration of high-order systems.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 10","pages":"1701 - 1720"},"PeriodicalIF":4.4,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50055559","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

On complete and micropolar-based incomplete strain gradient theories for periodic lattice structures 周期晶格结构的完全和基于微极的不完全应变梯度理论

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-30 DOI: 10.1007/s10483-023-3033-9

Zeyang Chi, Jinxing Liu, A. K. Soh

引用次数: 0

Effects of time-delayed vibration absorber on bandwidth of beam for low broadband vibration suppression 延时吸振器对低宽带波束带宽的影响

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-30 DOI: 10.1007/s10483-023-3038-6

Xiuting Sun, Yipeng Qu, Feng Wang, Jian Xu

{"title":"Effects of time-delayed vibration absorber on bandwidth of beam for low broadband vibration suppression","authors":"Xiuting Sun, Yipeng Qu, Feng Wang, Jian Xu","doi":"10.1007/s10483-023-3038-6","DOIUrl":"10.1007/s10483-023-3038-6","url":null,"abstract":"<div><p>The effects of time-delayed vibration absorber (TDVA) on the dynamic characteristics of a flexible beam are investigated. First, the vibration suppression effect of a single TDVA on a continuous beam is studied. The first optimization criterion is given, and the results show that the introduction of time-delayed feedback control (TDFC) is beneficial to improving the vibration suppression at the anti-resonance band. When a single TDVA is used, the anti-resonance is located at a specific frequency by the optimum design of TDFC parameters. Then, in order to obtain low-frequency and broad bands for vibration suppression, multiple TDVAs are uniformly distributed on a continuous beam, and the relationship between the dynamic responses and the TDFC parameters is investigated. The obtained relationship shows that the TDVA has a significant regulatory effect on the vibration behavior of the continuous beam. The effects of the number of TDVAs and the nonlinearity on the bandgap variation are discussed. As the multiple TDVAs are applied, according to the different requirements on the location and bandwidth of the effective vibration suppression band, the optimization criteria for the TDFC parameters are given, which provides guidance for the applications of TDVAs in practical projects such as bridge and aerospace.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 10","pages":"1629 - 1650"},"PeriodicalIF":4.4,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-3038-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50055562","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Wave propagation responses of porous bi-directional functionally graded magneto-electro-elastic nanoshells via nonlocal strain gradient theory 基于非局部应变梯度理论的多孔双向功能梯度磁电弹性纳米壳的波传播响应

IF 4.4 2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-09-30 DOI: 10.1007/s10483-023-3043-7

Xinte Wang, Juan Liu, Biao Hu, Bo Zhang, Huoming Shen

{"title":"Wave propagation responses of porous bi-directional functionally graded magneto-electro-elastic nanoshells via nonlocal strain gradient theory","authors":"Xinte Wang, Juan Liu, Biao Hu, Bo Zhang, Huoming Shen","doi":"10.1007/s10483-023-3043-7","DOIUrl":"10.1007/s10483-023-3043-7","url":null,"abstract":"<div><p>This study examines the wave propagation characteristics for a bi-directional functional grading of barium titanate (BaTiO<sub>3</sub>) and cobalt ferrite (CoFe<sub>2</sub>O<sub>4</sub>) porous nanoshells, the porosity distribution of which is simulated by the honeycomb-shaped symmetrical and asymmetrical distribution functions. The nonlocal strain gradient theory (NSGT) and first-order shear deformation theory are used to determine the size effect and shear deformation, respectively. Nonlocal governing equations are derived for the nanoshells by Hamilton’s principle. The resulting dimensionless differential equations are solved by means of an analytical solution of the combined exponential function after dimensionless treatment. Finally, extensive parametric surveys are conducted to investigate the influence of diverse parameters, such as dimensionless scale parameters, radius-to-thickness ratios, bi-directional functionally graded (FG) indices, porosity coefficients, and dimensionless electromagnetic potentials on the wave propagation characteristics. Based on the analysis results, the effect of the dimensionless scale parameters on the dispersion relationship is found to be related to the ratio of the scale parameters. The wave propagation characteristics of nanoshells in the presence of a magnetoelectric field depend on the bi-directional FG indices.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 10","pages":"1821 - 1840"},"PeriodicalIF":4.4,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-3043-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50055552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0