Double-Variables Second-Order Explicit Precise Integration Method in Structural Dynamic Analysis
openalex(2023)
Abstract
This paper presents a Double-variables Second-order Explicit Precise Integration method, which be abbreviated as DSEPI. It established the iterative algorithm base on the second-order Taylor expansion of the Hamilton solutions in structural dynamic analysis, and Gaussian Quadrature is used to deal with the integration of load term in each iteration step. DSEPI is a noval explicit integration method for dynamic analysis, in which the inverse and multiplication of the global stiffness matrix is avoided, so that, it is not necessary to assemble the global stiffness matrix. This method can be unconditionally stable and greatly improve the convergence step after introducing super-convergence factor. DSEPI has higher stability and accuracy than the traditional explicit integration method such as the Second Central Difference Method, which be abbreviated as SCDM, and both of them have the natural parallel advantage compared with implicit algorithm.
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Key words
Structural Analysis,Numerical Integration,Variational Integrators,Exponential Integrators,Time-Stepping Schemes
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