Physics- Spring-Mass-Damper Mechanical Circuits

The spring,mass, damper model allows mechanical systems to be solved in is similar way to electrical circuits using capacitors resistors and inductors.

  Spring Damper Mass
 

Differential equation -

Laplace transform -

 

 

F = k * x

F(s) = k * X(s)

where k = spring ratio in N/m

F = c * dx/dt

F(s) = c * s * X(s)

where c = damping coefficient in N s /m

F = m * d2x/dt2

F(s) = m * s * s * X(s)

where m = mass in kg=N*s*s/m

Example 1

equation of motion: m * d2 x/dt2 + k * x =0

solution x = a * cos(wt + alpha)

where w = sqrt(k / m)

a and alpha are constants of integration

Example 2

equation of motion: m * d2x/dt2 + c *dx/DT + k * x = 0

Standard Components

I think that some components, such as motor, gearbox, rack & pinion, etc. should be available to users as standard building blocks, the internal operation of these would not need to be simulated, only the internal behavior.

Further Information

Example: in car racing game


metadata block
see also:

go on to joints

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