Hello,
I am trying to solve a differential equation corresponding to a model for visco-elastic material behavior. the model consists of 5 units of spring-dampers placed in parallel and should be solved for the strain [MATH]\varepsilon(t)[/MATH]. The material is subject to a constant stress [MATH]\sigma_0[/MATH]. I am able to come-up with a single fifth order differential equation but I am struggling to find the initial conditions. I have found the first initial condition as can be seen in the attached image, but don't know how to come-up with the remaining four conditions. Can anyone help me solve this problem?
Thanks in advance!
Joa
I am trying to solve a differential equation corresponding to a model for visco-elastic material behavior. the model consists of 5 units of spring-dampers placed in parallel and should be solved for the strain [MATH]\varepsilon(t)[/MATH]. The material is subject to a constant stress [MATH]\sigma_0[/MATH]. I am able to come-up with a single fifth order differential equation but I am struggling to find the initial conditions. I have found the first initial condition as can be seen in the attached image, but don't know how to come-up with the remaining four conditions. Can anyone help me solve this problem?
Thanks in advance!
Joa