数値補間法の応用による同定式の検討 : 実構造体における多次元方向温度伝導率のシステム同定(その3)

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In the previous papers, the author presented identification equations of thermal diffusivity by the finite differential method (FD 32), the spline function method which uses the P-spline (SF 33), the divided differences (SFD 33) and the natural cubic spline (SNP 33) as the end conditions. Then the identification equation by the spline method (SF 33) was better than by the finite differential method (FD 32). In this paper, it is concluded that the spline method which uses the P-spline (SF 33) as the end conditions is better than th other spline methods (SFD 33, SNP 33) by the numerical experiments. And then the modified identification equation (ISF 33) of the spline method (SF 33) is presented and the conditions and accuracy are discussed by the experiment on a laboratory scale using polycarbonate specimen. According to the experiment, it is concluded that the system identification of thermal diffusivity by means of the suggested identification equations is possible with adequate accuracy. Additional conclusions of the study are as follows : Identification of thermal diffusivity by the equation ISF 33 is more accurate than those by the equation SF 33 or FD 32. Identifiable domain (αΔt/(Δx)^2) in case of ISF 33, where identification error (ε) is ε= -1.5- +1.0 %, is defined as αΔt/(Δx)^2=0.2-5.0. Identifiable domain in case of SF 33, where identification error is ε = -2.5- + 1.0 %, is defined as αΔt/(Δx)^2= 0.2-4.0. Identifiable domain in case of FD 32, where identification error is ε = - 1.0 - + 3.5 %, is defined as αΔt/(Δx)^2 =0.4 - 3.0.
社団法人日本建築学会の論文
1985-11-30

数値補間法の応用による同定式の検討 : 実構造体における多次元方向温度伝導率のシステム同定(その3)

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