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Electroelastic Analysis of Two-Dimensional piezoelectric structures by the Localized Method of Fundamental Solutions

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Advances in Applied Mathematics and Mechanics 2023年第4期15卷 880-900页

作者： Yan Gu Ji Lin Chia-Ming Fan Key Laboratory of Road Construction Technology&Equipment Chang’an UniversityXi’anShaanxi 710064China School of Mathematics and Statistics Qingdao UniversityQingdaoShandong 266071China Department of Engineering Mechanics College of Mechanics and MaterialsHohai UniversityNanjingJiangsuChina Department of Harbor and River Engineering&Computation and Simulation Center Taiwan Ocean UniversityKeelung 20224TaiwanChina

Accurate and efficient analysis of the coupled electroelastic behavior of piezoelectric structures is a challenging task in the community of computational *** the past few decades,the method of fundamental solutions(MFS)has emerged as a popular and well-established meshless boundary collocation method for the numerical solution of many engineering *** classical MFS formulation,however,leads to dense and non-symmetric coefficient matrices which will be computationally expensive for large-scale engineering *** this paper,a localized version of the MFS(LMFS)is devised for electroelastic analysis of twodimensional(2D)piezoelectric *** the LMFS,the entire computational domain is divided into a set of overlapping small sub-domains where the MFS-based approximation and the moving least square(MLS)technique are *** to the classical MFS,the LMFS will produce banded and sparse coefficient matrices which makes the method very attractive for large-scale *** numerical experiments illustrate that the present LMFM is very promising for coupled electroelastic analysis of piezoelectric materials.

关键词： Localized method of fundamental solutions meshless methods piezoelectric structures coupled electroelastic analysis fundamental solutions

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A hybrid-stress solid-shell element for non-linear analysis of piezoelectric structures

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中国科学:技术科学 2010年第3期 322-322页

作者： SZE K Y Department of Mechanical Engineering University of Hong Kong

This paper presents eight-node solid-shell elements for geometric non-linear analyze of piezoelectric *** subdue shear,trapezoidal and thickness locking,the assumed natural strain method and an ad hoc modified generalized laminate stiffness matrix are *** the generalized stresses arising from the modified generalized laminate stiffness matrix assumed to be independent from the ones obtained from the displacement,an extended Hellinger-Reissner functional can be *** choosing the assumed generalized stresses similar to the assumed stresses of a previous solid element,a hybrid-stress solid-shell element is *** presented finite shell element is able to model arbitrary curved shell ***-linear numerical examples demonstrate the ability of the proposed model to analyze nonlinear piezoelectric devices.

关键词： piezoelectric structures solid-shell element hybrid-stress geometric non-linear

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A wavelet approach for active-passive vibration control of laminated plates

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Acta Mechanica Sinica 2012年第2期28卷 520-531页

作者： Ji-Zeng Wang Xiao-Min Wang You-He Zhou Key Laboratory of Mechanics on Disaster and Environment in Western China the Ministry of Education of Chinaand Department of Mechanics and Engineering SciencesSchool of Civil Engineering and MechanicsLanzhou University730000 LanzhouChina

As an extension of the wavelet approach to vi- bration control of piezoelectric beam-type plates developed earlier by the authors, this paper proposes a hybrid active- passive control strategy for suppressing vibrations of lami- nated rectangular plates bonded with distributed piezoelec- tric sensors and actuators via thin viscoelastic bonding lay- ers. Owing to the low-pass filtering property of scaling func- tion transform in orthogonal wavelet theory, this wavelet- based control method has the ability to automatically filter out noise-like signal in the feedback control loop, hence re- ducing the risk of residual coupling effects which are usu- ally the source of spillover instability. Moreover, the exis- tence of thin viscoelastic bonding layers can further improve robustness and reliability of the system through dissipating the energy of any other possible noise induced partially by numerical errors during the control process. A simulation procedure based on an advanced wavelet-Galerkin technique is suggested to realize the hybrid active-passive control pro- cess. Numerical results demonstrate the efficiency of the pro- posed approach.

关键词： Wavelets piezoelectric structures Hybridactive-passive control Rectangular plate Viscoelastic ma-terial ~ Numerical simulation

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