Model generation method
A static matrix model in a viscoelastic body is generated for each environmental temperature condition. A generalized Maxwell model is generated for each environmental temperature condition using a matrix of the static matrix model. A spring coefficient and a damper viscosity coefficient of a material test piece is identified as a function of a strain rate norm based on a measurement result of the material test piece using a temperature-time conversion rule. An average strain rate of a part is identified as a function of a displacement rate vector. A dynamic spring coefficient and a damper viscosity coefficient of the part are identified as a function of a component of the displacement rate vector. A generalized Maxwell model for analysis is generated by applying the dynamic spring coefficient and the damper viscosity coefficient identified as the function of the component of the displacement rate vector to the generalized Maxwell model.
1. A model generation method for generating a dynamic model that is a model for reproducing a dynamic response of a part including a member made of a viscoelastic body, the model generation method comprising:
a step of generating a static model in the viscoelastic body for each of environmental temperature conditions;
a step of generating a generalized Maxwell model for each of the environmental temperature conditions using the static model;
a step of identifying a spring coefficient and a damper viscosity coefficient of the viscoelastic body as a function of a strain rate norm based on a measurement result of a material test piece using a temperature-time conversion rule;
a step of identifying an average strain rate of the part as a function of a displacement rate vector;
a step of identifying a dynamic spring coefficient and the damper viscosity coefficient of the part as a function of a component of the displacement rate vector; and
a step of generating a generalized Maxwell model for analysis by applying the dynamic spring coefficient and the damper viscosity coefficient identified as the function of the component of the displacement rate vector to the generalized Maxwell model,
wherein the generalized Maxwell model accurately reproduces characteristic changing in frequency dependence, amplitude dependence, and direction coupling in accordance with a change of environment temperature conditions.
2. The model generation method according to claim 1 , wherein in the step of generating the static model, a relationship between a stress and a strain for each of the environmental temperature conditions is obtained, with a use of the material test piece made of the viscoelastic body, by inputting a load to the material test piece while changing the environmental temperature conditions so as to generate the static model using data of the relationship between the stress and the strain for each of the environmental temperature conditions.
3. The model generation method according to claim 1 , wherein:
the static model in the viscoelastic body that is generated for each of the environmental temperature conditions is a static matrix model; and
in the step of generating the generalized Maxwell model, the generalized Maxwell model is generated for each of the environmental temperature conditions using a matrix of the static matrix model.