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1 http://www.tytlabs.co.jp/office/library/review/rev371j.html 2 -First Order Analysis- 3 4 CAE TOYOTA s CAR LISTS (66 cars) 5 6-10 years ago - CAE 1,2,3,

7 -CAE - -Now and Future - 8 /CAE /CAE /CAE CAE CAE (CAD CAE) 9 10 Courtesy of NHTSA CAE Courtesy of MSC CAE CAE 11 12 CAE CAE for designers CAE for engineers Designer

13 v.s. Current 14 Microsoft/Excel,VB beam,panel PC (personal) Current CAE CAE shell,solid 2 3 EWS (common) Node 1 Modeling beam Springs (Bushings) to Represent Joint Stiffness Node 2 15 Modeling:Panel Stress interpolation function is assumed (1) Normal and shear stress considered c11 σ x c11 c12 y 1 y 0 0 0 c + 12 s = σ y c21 c22x 0 0 1 x 0 = + = c21 = Nc s τ xy c 31 0 0 0 0 1 c 22 c 31 Comparison of results obtained (2) Only shear stress considered by two assumptions provides c important design suggestions 11 σ x 0 0 0 0 0 0 c 12 s = σ y = 0 = 0 0 0 0 0 c21 = Nc s τ xy c 31 0 0 0 0 1 c 22 c 31 16 Modeling: flexible joint 17 Analysis: Cross-section 18 Gyuan reduction technique is used Interactive Analysis and Design Calculation of Cross-sectional properties Kc Kcd Uc Fc K( ω) { U} = = Kdc Kd Ud 0-1 ([ K c ] [ K cd ][ K d ] [ K dc ]){ Uc} = { Fc } { U } { F } R K c = c

Analysis:Topology Optimization 19 Analysis:Topology Optimization 20 (a) j j T j minimize l = f u for j=1,..., m ρvi Subject to n p U V = ρ AL V Ω vi i i = 1 0 ρ vi 1 for i=1,..., n j Ku = f j for j=1,..., m u f Mean Compliance ρ vi A L i (b) Ground Structure Approach 21 /Body 22 Hierarchical Data Excel Sheets Greenhouse Body in White /Body 23 /Body 24 Setting of Boundary Conditions Change of Frame Length Change of Panel Thickness Eigen-Value Analysis Cross-section Design & Analysis Static Analysis 3D View of Body in White

25 26 27 28 FEM 60 29 40 20 0-2.0-1.0 0.0 1.0 2.0-20 -40-60 30

31 32 Applied Unit Load toward -Y Direction Four Points are Fixed to Ground 33 34 Applied Unit Load toward -Y Direction Applied Unit Load toward -Y Direction Four Points are Fixed to Ground Four Points are Fixed to Ground 35 36

Digital Process 37 38 CAD CAE Stereo type CAD CAE CAD CAE Stereo type OK Product Oriented Analysis 39 40 GUI Drawing a line 41 42 ANSYS DesignSpace

43 44 100 db Initial Improved 50 40 8dB 30 20 10 80 100 120 140 160 180 Hz CAE First Order Analysis () CAE