| Title |
Analytical Solutions of the Maximum and Limit States of the Dynamic SDOF Elastoplastic System Subjected to Rectangular Forces |
| Keywords |
analytical solutions ; maximum and limit states ; rectangular forces ; dynamic SDOF elastoplastic system ; kinematical hardening material |
| Abstract |
The maximum and limit states are the most important responses in the dynamic elastoplastic analysis. The analytical solutions for the step forces derived by the author were used successfully to find these states in a direct way without performing the step-by-step time integration. The efficiency of this direct method encourages us to expand it to general dynamic loads. The rectangular force is one of the most important dynamic forces since it gives the typical response for the force whose duration is finite. This paper presents the analytical solutions of the maximum and limit states of the dynamic SDOF elastoplastic system subjected to rectangular forces. The kinematically hardening material is considered. The half cycle of the elastoplastic vibration for the rectangular force has three cases of responses according to the duration of the force. For each case, we develop the analytical solutions. We then determine the maximum and limit states using these. Finally we perform the parametric studies by changing the parameters of the force and the material. We compare the results with those for the step force and the rigid-plastic material. |