A family of noniterative integration methods with desired numerical dissipation

作者：Chang Shuenn Yih^*

来源：International Journal for Numerical Methods in Engineering, 2014, 100(1): 62-86.

DOI：10.1002/nme.4720

• unconditional stability
• numerical dissipation
• nonlinear dynamic analysis
• accuracy
• structure-dependent integration method

A new family of unconditionally stable integration methods for structural dynamics has been developed, which possesses the favorable numerical dissipation properties that can be continuously controlled. In particular, it can have zero damping. This numerical damping is helpful to suppress or even eliminate the spurious participation of high frequency modes, whereas the low frequency modes are almost unaffected. The most important improvement of this family method is that it involves no nonlinear iterations for each time step, and thus it is very computationally efficient when compared with a general second-order accurate integration method, such as the constant average acceleration method.

• 出版日期2014-10-5