应用数学和力学2023，Vol.44Issue(11)：1341-1353,13.DOI:10.21656/1000-0887.440048
磁场作用功能梯度壳体磁弹耦合动力学模型
A Magnetoelastic Coupling Dynamical Model for Functional Gradient Shells Under Magnetic Field Actions
摘要
Abstract
For metal-ceramic functional gradient cylindrical shells in electromagnetic fields,the nonlinear con-stitutive relations were determined based on the geometry and Hooke's law on the physical neutral surface.Ac-cording to the Kirchhoff-Love theory,the strain energy expression and the kinetic energy expression with its variational operator were given for the heterogeneous elastic shell.The model of the eddy current Lorentz force and the magnetization force for ferromagnetic functional gradient shells under electromagnetic field actions,was derived with the electromagnetic elasticity theory.The magnetoelastic coupling nonlinear vibration equa-tions for the shell were obtained by means of Hamilton's variational principle,and the dynamical model descri-bing the coupling characteristics of the deformation field and the electromagnetic field was established for func-tional gradient structures.Through numerical examples for natural vibrations of functional gradient shells,the characteristic equation and the natural frequency variation law were obtained.The results show that,the natural frequency decreases with the magnetic induction intensity and the material volume fraction index,and the phe-nomenon of minimum frequency will occur in the circumferential wave number influence curves.This study pro-vides a reference for the theoretical modeling and dynamic analysis of multi-field coupling systems.关键词
功能梯度圆柱壳/磁弹性/动力学模型/电磁场/Hamilton变分原理Key words
functional gradient cylindrical shell/magnetoelasticity/dynamical model/electromagnetic field/Hamilton's variational principle分类
数理科学引用本文复制引用
胡宇达,廖峰..磁场作用功能梯度壳体磁弹耦合动力学模型[J].应用数学和力学,2023,44(11):1341-1353,13.基金项目
国家自然科学基金项目(12172321) （12172321）
河北省自然科学基金项目(A2020203007) （A2020203007）
