This python program solves single degree of freedom equation.
This is function written in python to solve linear single degree of freedom system The theoretical background of the same can be found in following book
1 - An Introduction To The Finite Element Method,*McGraw-Hill series in mechanical engineering*,J. N. Reddy, Edition 3, 2006, ISBN 007053084X, 9780070530843, 766 pages
The function takes following input arguments,
| Inputs | Description |
|---|---|
| N | define type of analysis 0 - the constant-average acceleration method (stable) 1 - the linear acceleration method (conditionally stable) 2 - the central difference method (conditionally stable) - This shouldn't be used 3 - the Galerkin method (stable) 4 - the backward difference method (stable) |
| M | single degree of freedom mass |
| C | single degree of freedom damping co-efficient |
| K | stiffness of single degree of freedom |
| t | time index for forcing time history |
| F | Forcing time history |
| x0 | Initial displacement |
| v0 | Initial velocity |
and the outputs are,
| Inputs | Description |
|---|---|
| disp | displacement time history of SDoF solution |
| vel | velocity time history of SDoF solution |
| accl | acceleration time history of SDoF solution |