Applied Mathematics and Mechanics-English Edition最新文献

Variable stiffness tuned particle dampers for vibration control of cantilever boring bars 用于悬臂镗杆振动控制的变刚度调谐粒子阻尼器

2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-11-29 DOI: 10.1007/s10483-023-3055-9

Xiangying Guo, Yunan Zhu, Zhong Luo, Dongxing Cao, Jihou Yang

{"title":"Variable stiffness tuned particle dampers for vibration control of cantilever boring bars","authors":"Xiangying Guo, Yunan Zhu, Zhong Luo, Dongxing Cao, Jihou Yang","doi":"10.1007/s10483-023-3055-9","DOIUrl":"10.1007/s10483-023-3055-9","url":null,"abstract":"<div><p>This research proposes a novel type of variable stiffness tuned particle damper (TPD) for reducing vibrations in boring bars. The TPD integrates the developments of particle damping and dynamical vibration absorber, whose frequency tuning principle is established through an equivalent theoretical model. Based on the multiphase flow theory of gas-solid, it is effective to obtain the equivalent damping and stiffness of the particle damping. The dynamic equations of the coupled system, consisting of a boring bar with the TPD, are built by Hamilton’s principle. The vibration suppression of the TPD is assessed by calculating the amplitude responses of the boring bar both with and without the TPD by the Newmark-beta algorithm. Moreover, an improvement is proposed to the existing gas-solid flow theory, and a comparative analysis of introducing the stiffness term on the damping effect is presented. The parameters of the TPD are optimized by the genetic algorithm, and the results indicate that the optimized TPD effectively reduces the peak response of the boring bar system.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 12","pages":"2163 - 2186"},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138473135","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 analysis on electrical properties in a bended composite piezoelectric semiconductor beam 弯曲复合压电半导体梁电性能的非线性分析

2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-11-29 DOI: 10.1007/s10483-023-3064-9

Luke Zhao, Feng Jin, Zhushan Shao, Wenjun Wang

{"title":"Nonlinear analysis on electrical properties in a bended composite piezoelectric semiconductor beam","authors":"Luke Zhao, Feng Jin, Zhushan Shao, Wenjun Wang","doi":"10.1007/s10483-023-3064-9","DOIUrl":"10.1007/s10483-023-3064-9","url":null,"abstract":"<div><p>In this paper, the interactions between the transverse loads and the electrical field quantities are investigated based on the nonlinear constitutive relation. By considering a composite beam consisting of a piezoelectric semiconductor and elastic layers, the nonlinear model is established based on the phenomenological theory and Euler’s beam theory. Furthermore, an iteration procedure based on the differential quadrature method (DQM) is developed to solve the nonlinear governing equations. Before analysis, the convergence and correctness are surveyed. It is found that the convergence of the proposed iteration is fast. Then, the transverse pressure induced electrical field quantities are investigated in detail. From the calculated results, it can be found that the consideration of nonlinear constitutive relation is necessary for a beam undergoing a large load. Compared with the linear results, the consideration of the nonlinear constitutive relation breaks the symmetry for the electric potential, the electric field, and the perturbation carrier density, and has little influence on the electric displacement. Furthermore, the non-uniform pressures are considered. The results show that the distributions of the electric field quantities are sensitively altered. It indicates that the electrical properties can be manipulated with the design of different transverse loads. The conclusions in this paper could be the guidance on designing and manufacturing electronic devices accurately.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 12","pages":"2039 - 2056"},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-3064-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138473142","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

Fracture of films caused by uniaxial tensions: a numerical model 单轴拉伸引起薄膜断裂的数值模型

2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-11-29 DOI: 10.1007/s10483-023-3061-7

Chenxue Jia, Zihao Wang, Donghui Zhang, Taihua Zhang, Xianhong Meng

引用次数: 0

Application of the extended Fourier amplitude sensitivity testing (FAST) method to inflated, axial stretched, and residually stressed cylinders 扩展傅立叶振幅灵敏度测试(FAST)方法在充气、轴向拉伸和残余应力圆柱体中的应用

2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-11-29 DOI: 10.1007/s10483-023-3060-6

H. Asghari, H. Topol, B. Markert, J. Merodio

引用次数: 0

Cross-sectional warping and precision of the first-order shear deformation theory for vibrations of transversely functionally graded curved beams 横向功能梯度弯曲梁振动的一阶剪切变形理论的截面翘曲和精度

2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-11-29 DOI: 10.1007/s10483-023-3065-6

U. N. Aribas, M. Aydin, M. Atalay, M. H. Omurtag

{"title":"Cross-sectional warping and precision of the first-order shear deformation theory for vibrations of transversely functionally graded curved beams","authors":"U. N. Aribas, M. Aydin, M. Atalay, M. H. Omurtag","doi":"10.1007/s10483-023-3065-6","DOIUrl":"10.1007/s10483-023-3065-6","url":null,"abstract":"<div><p>The warping may become an important factor for the precise transverse vibrations of curved beams. Thus, the first aim of this study is to specify the structural design parameters where the influence of cross-sectional warping becomes great and the first-order shear deformation theory lacks the precision necessary. The out-of-plane vibrations of the first-order shear deformation theory are compared with the warping-included vibrations as the curvature and/or thickness increase for symmetric and asymmetric transversely-functionally graded (TFG) curved beams. The second aim is to determine the influence of design parameters on the vibrations. The circular/exact elliptical beams are formed via curved mixed finite elements (MFEs) based on the exact curvature and length. The stress-free conditions are satisfied on three-dimensional (3D) constitutive equations. The variation of functionally graded (FG) material constituents is considered based on the power-law dependence. The cross-sectional warping deformations are defined over a displacement-type FE formulation. The warping-included MFEs (W-MFEs) provide satisfactory 3D structural characteristics with smaller degrees of freedom (DOFs) compared with the brick FEs. The Newmark method is used for the forced vibrations.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 12","pages":"2109 - 2138"},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138473143","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

Random vortex induced vibration response of suspended flexible cable to fluctuating wind 脉动风作用下悬索随机涡激振动响应

2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-11-29 DOI: 10.1007/s10483-023-3058-8

Genjin Mu, Weiqiu Zhu, Maolin Deng

{"title":"Random vortex induced vibration response of suspended flexible cable to fluctuating wind","authors":"Genjin Mu, Weiqiu Zhu, Maolin Deng","doi":"10.1007/s10483-023-3058-8","DOIUrl":"10.1007/s10483-023-3058-8","url":null,"abstract":"<div><p>A popular dynamical model for the vortex induced vibration (VIV) of a suspended flexible cable consists of two coupled equations. The first equation is a partial differential equation governing the cable vibration. The second equation is a wake oscillator that models the lift coefficient acting on the cable. The incoming wind acting on the cable is usually assumed as the uniform wind with a constant velocity, which makes the VIV model be a deterministic one. In the real world, however, the wind velocity is randomly fluctuant and makes the VIV of a suspended flexible cable be treated as a random vibration. In the present paper, the deterministic VIV model of a suspended flexible cable is modified to a random one by introducing the fluctuating wind. Using the normal mode approach, the random VIV system is transformed into an infinite-dimensional modal vibration system. Depending on whether a modal frequency is close to the aeolian frequency or not, the corresponding modal vibration is characterized as a resonant vibration or a non-resonant vibration. By applying the stochastic averaging method of quasi Hamiltonian systems, the response of modal vibrations in the case of resonance or non-resonance can be analytically predicted. Then, the random VIV response of the whole cable can be approximately calculated by superimposing the response of the most influential modal vibrations. Some numerical simulation results confirm the obtained analytical results. It is found that the intensity of the resonant modal vibration is much higher than that of the non-resonant modal vibration. Thus, the analytical results of the resonant modal vibration can be used as a rough estimation for the whole response of a cable.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 12","pages":"2207 - 2226"},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138473325","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

Novel mode-coupling vibrations of AlN thin film bulk acoustic resonator operating with thickness-extensional mode 以厚度扩展模式工作的AlN薄膜体声谐振器的新型模态耦合振动

2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-11-29 DOI: 10.1007/s10483-023-3056-6

Zinan Zhao, Nian Li, Yilin Qu, Weiqiu Chen

引用次数: 0

Dynamic stability analysis of porous functionally graded beams under hygro-thermal loading using nonlocal strain gradient integral model 用非局部应变梯度积分模型分析热湿荷载作用下多孔功能梯度梁的动力稳定性

2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-11-29 DOI: 10.1007/s10483-023-3059-9

Pei Zhang, P. Schiavone, Hai Qing

{"title":"Dynamic stability analysis of porous functionally graded beams under hygro-thermal loading using nonlocal strain gradient integral model","authors":"Pei Zhang, P. Schiavone, Hai Qing","doi":"10.1007/s10483-023-3059-9","DOIUrl":"10.1007/s10483-023-3059-9","url":null,"abstract":"<div><p>We present a study on the dynamic stability of porous functionally graded (PFG) beams under hygro-thermal loading. The variations of the properties of the beams across the beam thicknesses are described by the power-law model. Unlike most studies on this topic, we consider both the bending deformation of the beams and the hygro-thermal load as size-dependent, simultaneously, by adopting the equivalent differential forms of the well-posed nonlocal strain gradient integral theory (NSGIT) which are strictly equipped with a set of constitutive boundary conditions (CBCs), and through which both the stiffness-hardening and stiffness-softening effects of the structures can be observed with the length-scale parameters changed. All the variables presented in the differential problem formulation are discretized. The numerical solution of the dynamic instability region (DIR) of various bounded beams is then developed via the generalized differential quadrature method (GDQM). After verifying the present formulation and results, we examine the effects of different parameters such as the nonlocal/gradient length-scale parameters, the static force factor, the functionally graded (FG) parameter, and the porosity parameter on the DIR. Furthermore, the influence of considering the size-dependent hygro-thermal load is also presented.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 12","pages":"2071 - 2092"},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138473134","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

Wrinkling in graded core/shell systems using symplectic formulation 使用辛公式的梯度核/壳系统中的起皱

2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-11-29 DOI: 10.1007/s10483-023-3057-7

Yaqi Guo, Guohua Nie

引用次数: 0

A two-parameter multiple shooting method and its application to the natural vibrations of non-prismatic multi-segment beams 非棱镜多段梁固有振动的双参数多次射击方法及其应用

2区工程技术

Applied Mathematics and Mechanics-English Edition Pub Date : 2023-11-29 DOI: 10.1007/s10483-023-3062-5

R. Hołubowski, K. Jarczewska

{"title":"A two-parameter multiple shooting method and its application to the natural vibrations of non-prismatic multi-segment beams","authors":"R. Hołubowski, K. Jarczewska","doi":"10.1007/s10483-023-3062-5","DOIUrl":"10.1007/s10483-023-3062-5","url":null,"abstract":"<div><p>This paper presents an enhanced version of the standard shooting method that enables problems with two unknown parameters to be solved. A novel approach is applied to the analysis of the natural vibrations of Euler-Bernoulli beams. The proposed algorithm, named as two-parameter multiple shooting method, is a new powerful numerical tool for calculating the natural frequencies and modes of multi-segment prismatic and non-prismatic beams with different boundary conditions. The impact of the axial force and additional point masses is also taken into account. Due to the fact that the method is based directly on the fourth-order ordinary differential equation, the structures do not have to be divided into many small elements to obtain an accurate enough solution, even though the geometry is very complex. To verify the proposed method, three different examples are considered, i.e., a three-segment non-prismatic beam, a prismatic column subject to non-uniformly distributed compressive loads, and a two-segment beam with an additional point mass. Numerical analyses are carried out with the software MATHEMATICA. The results are compared with the solutions computed by the commercial finite element program SOFiSTiK. Good agreement is achieved, which confirms the correctness and high effectiveness of the formulated algorithm.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 12","pages":"2243 - 2252"},"PeriodicalIF":0.0,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138473249","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