Vibration behavior analysis of novelty corrugated-core sandwich plate structure by using first-order shear deformation plate and shell theories

• Published in: European physical journal plus Vol. 137; no. 2; p. 270
• Main Authors: Li, Zhen, Qin, Bin, Wang, Qingshan, Zhong, Rui, Shao, Wen
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.02.2022; Springer Nature B.V
• Subjects: Applied and Technical Physics; Atomic; Boundary conditions; Clamping; Complex Systems; Condensed Matter Physics; Coordinate transformations; Corrugated plates; Deformation; Dynamic models; Finite element analysis; Finite element method; Forced vibration; Free vibration; Homogenization; Investigations; Mathematical and Computational Physics; Molecular; Nodes; Optical and Plasma Physics; Parameters; Penalty function; Physics; Physics and Astronomy; Quadratures; Regular Article; Resonant frequencies; Sandwich structures; Shear deformation; Theoretical; Vibration; Vibration analysis
• ISSN: 2190-5444; 2190-5444
• DOI: 10.1140/epjp/s13360-022-02478-0

A unified dynamic model is established for investigating the vibration behaviors of novelty corrugated-core sandwich plate structure (NCSPS) under various boundary conditions based on the first-order shear deformation plate and shell theories by selecting differential quadrature finite element method (DQFEM) in this article. The NCSPS is composed of two different elements including plate element and circular arc shell element and the coupling between the above elements is realized by coordinate transformation and common differential quadrature nodes. The penalty function method is selected to simulate the boundary conditions of NCSPS and five boundary conditions including free, simply supported (I), clamped (I), simply supported (II) and clamped (II) are taken into account in this paper. The convergence of the established model is investigated from the perspectives of differential quadrature nodes and penalty factors. The validations including accuracy, stability and universality of the established model are studied by comparing the results calculated by the established model with the corresponding results of ABAQUS. The free and forced vibration characteristics with regard to NCSPS subject to various boundary conditions are investigated detailly in terms of structure parameters. The investigations of free vibration behaviors of NCSPS under free and clamped (I) boundary conditions are realized by investigating the effect of structure parameters of NCSPS on its the natural frequency. For forced vibration analysis, only steady-state response is considered and the investigations of forced vibration behaviors of NCSPS under clamped (I) and (II) boundary conditions are performed by analyzing the influence of structure parameters of NCSPS on its displacement response.