Numerical Evaluation Of Dynamic Response By Using Modified Newmark�s Method
| Submitted | 2018-11-26 |
| Last Update | 2018-11-26 |
| Title | Numerical Evaluation Of Dynamic Response By Using Modified Newmark�s Method |
| Author(s) | Author #1 Author title: Name: Wael Alnahhal Org: Assistant Professor, Qatar University, Qatar Country: Email: wael.alnahhal@qu.edu.qa Author #2 Author title: Name: Amjad Aref Org: Professor, University at Buffalo, United State of America, USA Country: Email: aaref@buffalo.edu |
| Other Author(s) | |
| Contact Author | Author #1 Alt Email: wael.alnahhal@qu.edu.qa Telephone: |
| Keywords | Newmark�s method, Richardson�s extrapolation, Structural dynamic analysis, Numerical analysis, Modified Newmark�s method, Integration algorithm |
| Abstract | It is well known that the Newmark�s method is considered one of the most popular methods for structural dynamic analysis. In this study, starting from the basic Newmark�s method, a new accurate method is investigated and developed. The basic idea of the proposed method is to use Richardson�s extrapolation to improve the basic Newmark�s method. To observe the accuracy of the proposed method, several numerical tests are performed for a single degree-of-freedom (SDM) dynamic system and the results are compared with results from Newmark�s method and the exact solution. The results show that the proposed method improves the solution accuracy of the structural dynamic problems compared to the Newmark�s method. Moreover, the results of the free oscillating case show that the modified Newmark�s method has more computational efficiency compared to the Newmark�s method. |
| Paper |  4537.pdf (331KB) |