A Numerical Calculation Method of Structural Dynamic Response with Controllable High Frequency Dissipation

Abstract

A numerical calculation method for structural dynamic response with controllable high-frequency dissipation, belonging to the technical field of structural vibration analysis in civil engineering, comprising the following steps: establishing a motion differential equation, calculating the initial acceleration vector, and calculating State variable at t = t i+1 = t i + the value x at time Δt i+1 , and judge whether to terminate the numerical integration calculation, and output the calculation result of the structural dynamic response. The present invention proposes a numerical calculation method of structural dynamic response with controllable high-frequency dissipation. The method adopts discrete control theory to derive algorithm parameters and poles, and can control the accuracy and nonlinear stability limit of the algorithm by selecting appropriate coefficients. High-frequency dissipation characteristics, and finally analyze the dynamic response of the structure, which provides a new and effective technical means for obtaining the structural dynamic response, effectively improves the calculation accuracy and efficiency, and solves the problem that the central difference method and Newmark method cannot effectively filter high The problem of spurious mode shapes.

Description

technical field [0001] The invention belongs to the technical field of structural vibration analysis in civil engineering, and in particular relates to a numerical calculation method for structural dynamic response with controllable high-frequency dissipation. Background technique [0002] Civil engineering structures will produce vibration responses under time-history excitations such as earthquakes and winds. When the excitation is large enough, the structure may be damaged. China is located between the circum-Pacific seismic belt and the Eurasian seismic belt. It has been plagued by earthquakes for a long time, which has brought huge losses to our country. It is of great significance to study the dynamic response of civil engineering structures under excitations such as earthquake and wind. [0003] The test methods for studying the dynamic response of structures include pseudo-static test, pseudo-dynamic test, shaking table test and real-time hybrid test. The numerical...

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Problems solved by technology

[0005] The present invention proposes a numerical calculation method of structural dynamic response with controllable high-frequency dissipation. The method adopts discrete control theory to derive algorithm parameters and poles. By selecting appropriate coefficients to control the accuracy and nonlinear stability limit of the algorithm, the algorithm can also be controlled The high-frequency dissipation characteristics of the structure, and finally the analysis of the dynamic response of the structure provides a new and effective technical means for obtaining the dynamic response of the structure, effectively improves the calculation accuracy and efficiency, and solves the problem that the central difference method and the Newmark method cannot effectively filter The Problem with Higher Order Spurious Mode Shapes

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