CAJ | 학술논문

首先通过对熵均衡方程积分,将其变换为无一阶时间导数项的等价方程,再将Hamilton变分原理运用和推广于各向异性孔隙热弹性体有限变形动力学中,建立了相应的非线性控制微分方程、力的边界条件和初始条件.同时,引入孔隙百分比变化和温度变化引起的力矩,将Hamilton变分原理推广到孔隙热弹性结构中,提出了以Kirchhoff-Love假设为基础的孔隙热弹性Karman-型薄板的完全的非线性数学模型,该模型考虑了中面力、中面惯性和转动惯性影响.
수선통과대적균형방정적분,장기변환위무일계시간도수항적등개방정,재장Hamilton변분원리운용화추엄우각향이성공극열탄성체유한변형동역학중,건립료상응적비선성공제미분방정、력적변계조건화초시조건.동시,인입공극백분비변화화온도변화인기적력구,장Hamilton변분원리추엄도공극열탄성결구중,제출료이Kirchhoff-Love가설위기출적공극열탄성Karman-형박판적완전적비선성수학모형,해모형고필료중면력、중면관성화전동관성영향.
In this paper, the equation for entropy balance is firstly converted to an equivalent form without the first-order time-derivative by integral. The Hamilton variational principle is extended to the finite deformation dynamics of anisotropic thermoelastic voids bodies to present the all nonlinear governing differential equations, force boundary conditions and initial conditions. The Hamilton variational principle is also extended to the thermoelastic voids structures after introducing the moments caused by the change of porosity and temperature, a complete nonlinear model of theomoelastic Karman-type voids plates, based on the Kirchhoff-Love assumption, is presented, in which, the influences of middle plane force, middle plane inertia and rotation inertia have been included.