Formulation and program development of damping matrix of viscoelastic body

粘弹性体阻尼矩阵的编制和程序开发工作进行了两年。第一年进行了粘弹性材料线性和非线性特性的实验研究。通过线性实验，阐明了粘弹性体的频率特性，建立了粘弹性体本构律的分数阶微分模型。通过非线性实验，阐明了频率和应变关系，得到了频率和应变关系下的阻尼特性。第二年，采用有限元法建立了包含新建立的阻尼矩阵的非线性有限元运动方程。与此同时，提出了高性能的数值积分算法。在导出的非线性有限过程和建立的数值积分格式的基础上，开发了数值算法。推导出的阻尼矩阵的性质有待进一步研究。

Formulation and program development of damping matrix of viscoelastic body have been carried out for two years. In the first year the experiments have been conducted for investigating linear and nonlinear characteristics of a viscoelastic material. From linear experiments, frequency characteristics of viscoelastic body were elucidated and fractional differentiation model for constitutive law was established. From nonlinear experiments, frequency and strain dependences were elucidated, and the damping characteristics for frequency and strain dependences were obtained. In the second year, nonlinear finite element equations of motion involving newly developed damping matrix were established by means of the finite element procedure. In parallel to this study, high performance numerical integration algorithms were proposed. Numerical algorithm based on the derived nonlinear finite procedure and established numerical integration schemes was developed.Properties of the derived damping matrix are needed to be investigated in the future.