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Method for adjusting influence matrix accurately matched with seismic wave and target response spectrum

A technology that affects the matrix and precise matching. It is used in the testing of machine/structural components, complex mathematical operations, measuring devices, etc., to achieve the convergence of the iterative process, the monotonicity of the iterative process, and the high matching accuracy.

Active Publication Date: 2019-07-16
HOHAI UNIV
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Problems solved by technology

[0005] Purpose of the invention: Aiming at the defects of the existing method for adjusting the real seismic time history to match the target design spectrum, the purpose of the present invention is to provide an influence matrix method for adjusting the accurate matching of seismic waves and target response spectrum,

Method used

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  • Method for adjusting influence matrix accurately matched with seismic wave and target response spectrum
  • Method for adjusting influence matrix accurately matched with seismic wave and target response spectrum
  • Method for adjusting influence matrix accurately matched with seismic wave and target response spectrum

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Embodiment

[0076] Step 1, select a real seismic record A whose duration is T=30s, time interval is Δt=0.005s, and the total number of time points is N=6001 IN (t) as the initial seismic wave.

[0077] Step 2: Select the Consistent Hazard Spectrum (CENA UHS) as the target design spectrum, and [0.2,100] Hz is the frequency range concerned in engineering applications, then the application range of the required eigenfunctions is calculated accordingly:

[0078]

[0079]

[0080] Then, from the 11th to the 5999th, a total of N c =5989 eigenfunctions are selected as basis functions.

[0081] Step 3, with a set of eigenfunctions selected in step 2 Decompose the initial seismic acceleration time history A as a basis function IN (t), get the initial amplitude coefficient a (0) and initial iteration schedule A (0) (t) (if figure 2 shown). Additionally, by image 3 The near-precise coincidence between the initial seismic wave and the initial iterative time history shows that the met...

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Abstract

The invention discloses a method for adjusting an influence matrix of accurate matching of seismic waves and a target response spectrum. The method comprises introducing an intrinsic function of a six-order differential equation to decompose initial seismic waves; obtaining initial amplitude coefficients in one-to-one correspondence with the intrinsic functions; in each time of iterative computation, calculating the response spectrum of the seismic wave reconstructed by the intrinsic function by using the Duhamel integral; calculating the contribution value of each intrinsic function to the reaction spectrum at each calculation frequency. The method has the advantages that the contribution of each intrinsic function to the calculation of the reaction spectrum can be adjusted by adjusting the amplitude coefficient of the intrinsic function, so that the calculation of the reaction spectrum is uniformly and consistently close to the standard reaction spectrum in each iteration calculation, and the purpose of matching the calculation of the reaction spectrum with the target design reaction spectrum is finally achieved. According to the method, the iteration process is monotonous and convergent, so that the time-history dynamic response analysis result of the important engineering structure has high precision and reliability, and the discreteness and the time consumption are remarkably reduced.

Description

technical field [0001] The invention relates to a structure anti-seismic design and analysis method, in particular to an influence matrix method for adjusting the accurate matching of seismic wave and target response spectrum. Background technique [0002] Earthquake is one of the most destructive natural disasters, and the occurrence of earthquake disasters will lead to huge economic, environmental and life losses. The seismic design of structures is the most effective method to prevent structural damage caused by earthquakes, and the determination of design earthquakes is crucial, including the determination of seismic design spectrum and seismic design time course. Seismic design time histories, including design acceleration time histories, design velocity time histories and design displacement time histories, are very important in seismic design and analysis. For example, in the seismic design of a nuclear power plant, the design acceleration time history can be used fo...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/11G06F17/13G06F17/15G06F17/16G01M7/02
CPCG06F17/11G06F17/13G06F17/16G06F17/15G01M7/02
Inventor 杨兰兰徐卫亚谢伟超
Owner HOHAI UNIV
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