Can Software Calculate Creep and Stress Relaxation in Spring-Damper Models?

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SUMMARY

Matlab and Mathematica are confirmed to be capable of calculating creep and stress relaxation in spring-damper models. Users can leverage symbolic software to derive the inverse Laplace transform of the components' constitutive equations. The discussion highlights the necessity of transforming components into impedances for effective analysis, particularly in models without a free extremity. This approach allows for the combination of springs and dampers to determine displacement as a function of load.

PREREQUISITES
  • Understanding of constitutive equations in mechanical systems
  • Familiarity with Laplace transforms and inverse Laplace transforms
  • Knowledge of impedance in spring-damper models
  • Experience with Matlab and Mathematica software
NEXT STEPS
  • Research how to implement inverse Laplace transforms in Matlab
  • Explore the use of Mathematica for symbolic computation in mechanical systems
  • Study the principles of impedance in mechanical systems
  • Investigate advanced modeling techniques for constrained spring-damper systems
USEFUL FOR

Mechanical engineers, researchers in dynamics, and anyone involved in modeling and analyzing spring-damper systems will benefit from this discussion.

Stealth101
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Hi all, I have a question.

Does exists a software that is able to calculate creep and stress relaxation of a model of springs and dampers?

Is Matlab/Simulink able to do this?

Thanks in advance.
 
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Hi Stealth101, welcome to PF. If you're able to put the components' constitutive equations together in the s-domain, any symbolic software should be able to find the inverse Laplace transform, which will give you the equations you're looking for. Mathematica can do it, certainly; I'm pretty sure the Matlab can also, but I don't have that immediately at hand.
 
Mapes said:
If you're able to put the components' constitutive equations together.

I have some doubts about the equations, because I have to study a model without a free "extremity" so I can't apply the Heaviside step function in the classic way.

Practically this model has the "chassis" both on the right side and left side.

I'm sorry for my poor English.
 
Still, if you can turn all the components into impedances (k for springs, for dashpots), hopefully you can combine them like springs and get displacement as a function of load.
 

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