A new free vibration analysis method for space mega frames of super tall buildings

Yao-qing, Gong

doi:10.1088/1757-899x/10/1/012002

Cited by 1 publication

(1 citation statement)

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“…This discretization method, however, is often time-consuming due to the generation of a large number of degree of freedom. In contrast, with a low computational cost, the nondiscretization and semi-discretization method based on ordinary differential equation (ODE) solver has been proved highly effective in the simplified structural analysis of tall building [8,9]. And the newly developed finite element method of lines, which is another semi-analytical method based on ODE solver, has been already applied in many fields [10,11] owing to its high precision.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of Tall-Pier Aqueduct Using ODE Solver

You

Zhiguo

et al. 2010

2010 Third International Joint Conference on Computational Science and Optimization

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A new method using ordinary differential equation (ODE) solver is applied in order to ease the dynamic analysis of tall-pier aqueduct. By simplifying the boundary conditions associated with fluid-structure interaction at pier top and considering the pier as a continuous beam instead of discretized elements, this paper converts the dynamic analysis of tall-pier aqueduct into standard forms of ODE eigenproblem and general boundary value problem, which can be solved by ODE solver based on the presented ODE eigenvalue algorithm, modal superposition and Newmark-β semi-discretization method. For illustration, two numerical examples are utilized to show the feasibility of this method to obtain dynamic characteristic, elastic seismic response and nonlinear vibration isolation response of tall-pier aqueduct. The results show that compared to the finite element method, the model and method in this paper is not only reliable, but time-saving.

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Section: Introductionmentioning

confidence: 99%