Mass-spring-damper model

The mass-spring-damper model consists of discrete mass nodes distributed throughout an object and interconnected via a network of springs and dampers. This model is well-suited for modelling object with complex material properties such as nonlinearity and viscoelasticity. Packages such as MATLAB may be used to run simulations of such models.[1] Objects may be described as volumetric meshes for simulation in this manner. As well as engineering simulation, these systems have applications in computer graphics and computer animation[2]

Derivation (Single Mass)

Classic model used for deriving the equations of a mass spring damper model

Deriving the equations of motion for this model is usually done by examining the sum of forces on the mass:

By rearranging this equation, we can derive the standard form:[3] where

is the undamped natural frequency

is the damping ratio

See also

References


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