Structural dynamic response numerical calculation method with controllable high-frequency dissipation

Abstract

The invention discloses a structural dynamic response numerical calculation method with controllable high-frequency dissipation. The invention belongs to the technical field of structural vibration analysis in civil engineering. The method comprises the following steps: establishing a motion differential equation, carrying out initial acceleration vector calculation, calculating a value x<i+1>, x<.><i+1> and x<..><i+1> of a state variable at the moment t=t<i+1>=ti+delta t according to a displacement speed recursion formula, judging whether to carry out termination numerical integration calculation or not, and outputting a structural dynamic response calculation result. The invention provides a structural dynamic response numerical calculation method with controllable high-frequency dissipation. According to the method, algorithm parameters and poles are derived by adopting a discrete control theory; a proper coefficient is selected to control the precision and nonlinear stability limitof the algorithm; the high-frequency dissipation characteristic of the algorithm can be controlled, finally, the dynamic response of the structure is analyzed, a new and effective technical means isprovided for obtaining the dynamic response of the structure, the calculation precision and efficiency are effectively improved, and the problem that a center difference method and a Newmark method cannot effectively filter high-order false vibration modes is solved.

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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