Interval Estimation of Eigenvalue Problem Based on Finite Element Sensitivity Analysis and Convex Model
スポンサーリンク
概要
- 論文の詳細を見る
A formulation is presented for interval analysis of eigenvalue problem on the basis of the finite element sensitivity analysis and representation of uncertainty involved in a structural system by a convex model. The first-order approximation obtained by the sensitivity analysis is employed to express the response change due to the uncertainty that is assumed to be confined in a convex hull. The maximum and minimum of responses, by which the interval is bracketed, are searched on the convex boundary by the Lagrange multiplier method. The validity of the present formulation is demonstrated by a numerical example of the axial buckling load of an elastic straight column in the case of spatially uncertain Young's modulus.
- 一般社団法人日本機械学会の論文
- 1997-07-15
著者
-
Nakagiri Shigeru
Institute Of Industrial Science The University Of Tokyo
-
SUZUKI Keiko
Institute of Industrial Science, University of Tokyo
-
Suzuki Keiko
Institute Of Industrial Science University Of Tokyo
関連論文
- Structural Analysis Consultation System Developed by Use of Knowledge Bases and Symbolic Manipulation
- Time History and Spectrum Analysis of a Four-Wheeled Vehicle on an Uneven Road
- Model and Spectrum Analysis of an Uneven Road Surface by Means of the Two-Dimensional Filtered Poission Process : Solid-Mechanics, Strength of Materials
- Random Response Analysis of Vehicle on Uneven road Expressed as Filtered Poisson Process : Series C : Vibration, Control Engineering, Engineering for Industry
- Finite Element Synthesis of Structure Shapes Due to Stress Criteria
- Homology Design for Eigenvector of Bending Vibration Using Finite Element Method
- Shift synthesis to realize linear homologous deformation
- Interval Estimation of Eigenvalue Problem Based on Finite Element Sensitivity Analysis and Convex Model
- Design Change to Realize Homologous Deformation
- Tangent Hypersphere Method for Optimal Design : Maximization of Vibration Eigenvalue and Minimization of Weight
- Stochastic Finite Element Analysis of Thermal Deformation of fiber Reinforced Plastic Laminated Plate : Series A : Solid-Mechanics, Strength of Materials
- Finite Element Reanalysis of Real Eigenvalue Problem (Case Study of Vibration Eigenvalue) : Series C : Vibration, Control Engineering, Engineering for Industry
- Stochastic Finite Element Analysis of Thermal Deformation and Thermal Stresses of CFRP Laminated Plates
- Structural Optimization under Topological Constraint Represented by Homology Groups : Topological Constraint on One-Dimensional Complex by Use of Zero- and One-Dimensional Homology Groups
- Optimization of Frame Topology Using Boundary Cycle and Genetic Algorithm
- Optimization of Truss Topology Using Boundary Cycle : Derivation of Design Variables to Avoid Inexpedient Structure
- Fluctuation of Structural Response, Why and How