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Standard Linear Solid model, Kelvin representation. This model consists of two systems in series. The first, referred to as the Kelvin arm, contains a spring (=) and dashpot (viscosity ) in parallel. The other system contains only a spring (=).
of linear dashpot. A dashpot, also known as a damper [citation needed], is a mechanical device that resists motion via viscous friction. [1] The resulting force is proportional to the velocity, but acts in the opposite direction, [2] slowing the motion and absorbing energy. It is commonly used in conjunction with a spring.
Schematic representation of Kelvin–Voigt model. The Kelvin–Voigt model, also called the Voigt model, is represented by a purely viscous damper and purely elastic spring connected in parallel as shown in the picture. If, instead, we connect these two elements in series we get a model of a Maxwell material.
Due to molecular segments of different lengths with shorter ones contributing less than longer ones, there is a varying time distribution. The Wiechert model shows this by having as many spring–dashpot Maxwell elements as necessary to accurately represent the distribution. The figure on the right shows the generalised Wiechert model. [11]
The following table gives formula for the spring that is equivalent to a system of two springs, in series or in parallel, whose spring constants are and . [1] The compliance c {\displaystyle c} of a spring is the reciprocal 1 / k {\displaystyle 1/k} of its spring constant.)
The Wiechert model shows this by having as many spring–dashpot Maxwell elements as are necessary to accurately represent the distribution. The figure on the right shows the generalised Wiechert model. [3] [4]
a spring and dashpot in parallel, called the Voigt (or Kelvin) model a spring and dashpot in series, called the Maxwell model The Voigt model, described by the equation J σ = ϵ + τ ϵ ˙ {\displaystyle J\sigma =\epsilon +\tau {\dot {\epsilon }}} , allows for no instantaneous deformation, therefore it is not a realistic representation of a ...
Classic model used for deriving the equations of a 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.