[软件][地震工程] IRSA 案例2 —— 单自由度非线性地震动力时程分析 ( IRSA Example 2— Nonlinear Seismic Dynamic Time History Analysis of SDOF System)

实干、实践、积累、思考、创新。

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外国网友让我对 IRSA 软件做个单自由度地震时程分析分析的使用说明和算例，所以下面较多英文为主，大概看看。关于这个软件的介绍可以访问这个链接：[软件][地震工程][科研][更新] IRSA 2022: Inelastic Response Spectra Analysis Program (弹塑性反应谱及单自由度非线性地震分析工具)

[Step 1] 导入地震波 Import Earthquake Acceleration Ground Motion Records

点击“Import Ground Motion”导入地震波，IRSA支持一次导入多组地震波。地震波导入后，可以在“”Time Series“选项卡上查看地震波的加速度、速度、位移时程曲线。软件可支持对地震波进行基线修正，如果需要修正，可以在“Type”下拉菜单选择合适的修正方法，然后点击 “Apply Baseline Correction” 按钮进行基线修正。修正后的时程曲线在图形中用灰色显示。如果执行了地震波基线修正，那后续的分析会基于基线修正后的地震波进行。

Click the “Import Ground Motion” button to import your earthquake acceleration ground motion records. You can import multiple records one time.  After the ground motion acceleration is imported, you can check the acceleration, velocity and displacement of the ground motion in the tab “Time Series“;  If you discover baseline error in the ground motion, you can select the “type” of baseline correction and click the “Apply Baseline Correction” button  to do baseline correction to the ground motion. When a ground motion is baseline corrected, the after time history analysis and response spectra analysis will be based on baseline corrected ground motion record, not the original record. The only one thing you need to know is that, baseline correction will affect response spectra analysis and time history analysis results.

[Step 2] 设置分析参数 Set Parameters for SDOF Time History Analysis

点击“Set Parameters” 按钮设置时程分析参数。主要包括 结构参数、材料参数、及分析参数三大类。IRSA目前支持三种材料，分别是线性材料，非线性二折线滞回材料及四段式非线性材料（link）。设置完参数后，需要点击“Update”按钮更新参数。

This tutorial is mainly for SDOF time history analysis, so only parameters related to SDOF analysis is discussed. The other parameters are mainly related to Inelastic Response Spectra Analysis, and will be discussed next time.

Click “Set Parameters” Button, and show the below form, only the parameters in red frame are related to SDOF analysis.

All the structural parameters have the following meanings:

[Mass] 质量: the structural mass

[Damping Ratio] 阻尼比: the damping ratio is used to specify the damping information for the single degree freedom system.

[w] 圆频率: w=sqrt( k0 / Mass), circular frequency of free vibration of the structure (radians/sec). In this program,  w is calculated by the prgrom automatically , usig k0 and Mass.

[T] 周期: T = 2*π/w , period of vibration (sec/cycle).

[Step 3] 运行分析 Run Time History Analysis

[Step 4] 查看分析结果 Check Analysis Results

IRSA提供以下13种时程结果：

1. Displacement [cm]
2. Velocity [cm/sec]
3. Acceleration [g]
4. Absolute Acceleration [g]
5. EK, Dynamic Energy [N*cm]
6. ED, Damping Energy [N*cm]
7. ES, Elastic Strain Energy [N*cm]
8. ER, Total Strain Energy [N*cm]
9. Ep, Plastic Energy [N*cm]
10. Ei, Input Energy,Ei [N*cm]
11. Vp, Plastic Energy Equivalent Velocity [cm/sec]
12. Vd, Damping Energy Equivalent Velocity [cm/sec]
13. Vi, Input Energy Equivalent Velocity [cm/sec]

[Step 5] 保存分析结果 Check Analysis Results

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