How can I determine the acceleration of a carbody in time domain analysis considering multi-degree of freedom of railway vehicle system? Is there anyone having solution?
Mr Smith,
If the analysis is not of complete train. If it is limited to single coach only.
How to solve. Is the solution is with you. I understand to determine the displacement and velocity in time domain using forth order runga-kutta method. I have the solution with me also. But I dont know to find acceleration.
Dr RC Sharma
It is more complex than that. You have to take into account the slack in the couplings between cars. As the train accellerates, the slack is taken out of the couplings closest to the engine first, and by the time the accelleration gets back to the last car, the rest of the train is already moving faster, increasing the accelleration differences between the cars. The last car experiences the highest accelleration as the slack comes out of its coupling last.
Mr Smith,
If the analysis is not of complete train. If it is limited to single coach only.
How to solve. Is the solution is with you. I understand to determine the displacement and velocity in time domain using forth order runga-kutta method. I have the solution with me also. But I dont know to find acceleration.
Dr RC Sharma
In which direction the acceleration is required?
From your question it is seen that, you might have solved the differential equations of motion and the result is the displacement and velocity in time domain. To determine the acceleration there are two ways-
1. Direct numerical differentiation of the velocity signal wrt time.
2. From the differential equations of motion, express acceleration in terms of velocity and displacement and evaluate it by substituting the solution obtained.
I have used both the approaches for multi-dof vibration problems and yields the same results.
- Badges
- Science topic