损伤黏弹性Timoshenko梁的广义变分原理

On the Generalized Variational Principle of Generalized Field of Force for the Viscoelastic Body with Voids

从考虑损伤的黏弹性材料一种卷积型本构关系出发,应用Timoshenko梁变形的基本假设,建立了损伤黏弹性Timoshenko梁的静、动力学行为研究的数学模型.同时,利用卷积,建立了相应的Gurtin型广义变分原理.该广义变分原理可以看成是黏弹性Timoshenko变分原理的一种推广.

According to the constitutive model expressed by convolution method for viscoelastic solids with damage,the equations of motion governing the quasi-static and dynamic behaviors of viscoelastic Timoshenko beam with damage are derived by using the basic deformation hypothesis.At the same time,the Gurtin-typical generalized variational principle is discussed under the help of convolution.