Development of Structure-Dependent Integration Method with Numerical Dissipation

• Main Authors: Shin-Yun Tsai, 蔡欣芸
• Other Authors: 張順益
• Format: Others
• Language: zh-TW
• Published: 2011
• Online Access: http://ndltd.ncl.edu.tw/handle/2a4r3e

碩士 === 國立臺北科技大學 === 土木與防災研究所 === 99 === For the solution of structure dynamic problems, the integration method with numerical dissipation are considered to be important in the development of a new integration method. Although implicit methods can generally have unconditional stability, explicit methods generally preferred over implicit methods since they involve no iteration procedure or extra hardware in the pseudodynamic testing. This paper will propose a new family of unconditionally stable explicit method with numerical dissipation, witch is basted to solving general structural dynamic problems. Due to the explicitness of each time step, this family method involves no nonlinear iteration and thus it is very suitable for both time history analysis and pseudodynamic testing. In addition, many computational efforts can be saved in a time history analysis since there is no nonlinear iteration involved per time step. Both numerical examples and actual pseudodynamic tests are employed to confirm the superiority of the proposed new family method.