Part II: Part II: Inverse problemInverse problemDeconvolution for site response analysisDeconvolution for site response analysis

J. T. Chen Ph.D.海洋大學特聘教授 陳正宗博士

11:50 ~ 12:40, Oct. 08, 2005NCTU, HsinChu

Workshop on Inverse ProblemsNCTU, HsinChu, Taiwan

OutlinesOutlines

Part II: Part II: Inverse problemInverse problemDeconvolution for site response analysisDeconvolution for site response analysis

Part II: Inverse problemPart II: Inverse problem J. T. Chen and K. H. Chen, 1998, “Analytical Study and J. T. Chen and K. H. Chen, 1998, “Analytical Study and

Numerical Experiments for Laplace Equations with OverNumerical Experiments for Laplace Equations with Overspecified Boundary Conditions”, Applied Mathematical specified Boundary Conditions”, Applied Mathematical Modelling, Vol.22, pp.703-725. (SCI and EI) Modelling, Vol.22, pp.703-725. (SCI and EI)

L. Y. Chen, J. T. Chen, H.-K. Hong and C. H. Chen, 1995, L. Y. Chen, J. T. Chen, H.-K. Hong and C. H. Chen, 1995, “Application of Cesaro Mean and the L-curve for Decon“Application of Cesaro Mean and the L-curve for Deconvolution Problem”, Soil Dynamics and Earthquake Engivolution Problem”, Soil Dynamics and Earthquake Engineering, Vol. 14,No. 5, pp.361-373. (SCI and EI)neering, Vol. 14,No. 5, pp.361-373. (SCI and EI)

陳正宗與陳桂鴻，地盤反應逆向運算 – 病態問題，陳正宗與陳桂鴻，地盤反應逆向運算 – 病態問題， 19961996 ，，土木工程技術，第七期，土木工程技術，第七期， 101101 頁 – 頁 – 120120 頁頁 ..

K. H. Chen and J. T. Chen, 1996, “On the Inverse ProbleK. H. Chen and J. T. Chen, 1996, “On the Inverse Problems for Laplace Equation”, Proceeding of the 20th Natioms for Laplace Equation”, Proceeding of the 20th National Conference on Theoretical and Applied Mechanics, pnal Conference on Theoretical and Applied Mechanics, pp.519-526.p.519-526.

半盲問題

Site Response AnalysisSite Response Analysis

Direct problem: OK (convolution)Direct problem: OK (convolution) Inverse problem: NG (deconvolution)Inverse problem: NG (deconvolution) SHAKE problem (Seed)SHAKE problem (Seed) Treatment (conventional)Treatment (conventional)

Cutoff frequency by engineering judgementCutoff frequency by engineering judgement Treatment (present)Treatment (present)

Cesaro regularization by reproducing kernelCesaro regularization by reproducing kernel

敏感度

扭曲度

The EndThe End

Thanks for your kind attentions.Thanks for your kind attentions.Your comments will be highly apprYour comments will be highly appr

eciated.eciated.

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