A comprehensive investigation on nonlinear vibration and bending characteristics of bio-inspired helicoidal laminated composite structures  

作　　者：S.SAURABH R.KIRAN D.SINGH R.VAISH V.S.CHAUHAN 

机构地区：[1]School of Mechanical and Materials Engineering,Indian Institute of Technology Mandi,Mandi,Himachal Pradesh 175005,India

出　　处：《Applied Mathematics and Mechanics(English Edition)》2025年第1期81-100,共20页应用数学和力学(英文版)

摘　　要：Bio-inspired helicoidal composite laminates,inspired by the intricate helical structures found in nature,present a promising frontier for enhancing the mechanical properties of structural designs.Hence,this study provides a comprehensive investigation into the nonlinear free vibration and nonlinear bending behavior of bio-inspired composite plates.The inverse hyperbolic shear deformation theory(IHSDT)of plates is employed to characterize the displacement field,with the incorporation of Green-Lagrange nonlinearity.The problem is modeled using the C0finite element method(FEM),and an in-house code is developed in the MATLAB environment to solve it numerically.Various helicoidal layup configurations including helicoidal recursive(HR),helicoidal exponential(HE),helicoidal semi-circular(HS),linear helicoidal(LH),and Fibonacci helicoidal(FH)with different layup sequences and quasi-isotropic configurations are studied.The model is validated,and parametric studies are conducted.These studies investigate the effects of layup configurations,side-to-thickness ratio,modulus ratios,boundary conditions,and loading conditions at different load amplitudes on the nonlinear vibration and nonlinear bending behaviors of bio-inspired composite plates.The results show that the laminate sequence exerts a substantial impact on both nonlinear natural frequencies and nonlinear bending behaviors.Moreover,this influence varies across different side-to-thickness ratios and boundary conditions of the bio-inspired composite plate.

关 键 词：finite element method(FEM) nonlinear Green-Lagrange inverse hyperbolic shear deformation theory(IHSDT) bio-inspired composite plate helicoidal 

分 类 号：O322[理学—一般力学与力学基础]