- #1
mwspice
- 10
- 0
Hi,
I'm currently trying to learn about finding equations of motion from the Lagrange equation, and I'm a little confused about how it applies to multiple degree of freedom systems. I am using the following form of the equation with T as total kinetic energy, V as total potential energy, R as Rayleigh's dissipative function, ## q_i ## as the generalized coordinate, and ## Q_i ## as a generalized non-conservative force. For a MDOF system, do I have to do this equation once for each DOF?
## \frac{d}{dt} \left( \frac{\partial T}{\partial \dot q_{i}} \right) - \frac{\partial T}{\partial q_{i}} + \frac{\partial V}{\partial q_{i}} + \frac{\partial R}{\partial \dot q_{i}} = Q_i ##
Thanks
I'm currently trying to learn about finding equations of motion from the Lagrange equation, and I'm a little confused about how it applies to multiple degree of freedom systems. I am using the following form of the equation with T as total kinetic energy, V as total potential energy, R as Rayleigh's dissipative function, ## q_i ## as the generalized coordinate, and ## Q_i ## as a generalized non-conservative force. For a MDOF system, do I have to do this equation once for each DOF?
## \frac{d}{dt} \left( \frac{\partial T}{\partial \dot q_{i}} \right) - \frac{\partial T}{\partial q_{i}} + \frac{\partial V}{\partial q_{i}} + \frac{\partial R}{\partial \dot q_{i}} = Q_i ##
Thanks
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