Tangent Hypersphere Method for Optimal Design : Maximization of Vibration Eigenvalue and Minimization of Weight
スポンサーリンク
概要
- 論文の詳細を見る
A new formulation is proposed to determine the minimal objective function under inequality constraint conditions. Taylor series expansion of the objective function with respect to design variables is employed for the approximation up to the quadratic terms by use of the Hessian matrix, while linear approximation is employed for the inequality constraint conditions. The objective function is standardized on the basis of the eigenvalue analysis of the Hessian matrix so as to form the hypersphere. The center of the hypersphere is used directly for the minimization of the objective function in the case that the center lies inside the feasible domain of the design variables. In the case that the center is outside the feasible domain, the minimal value of the objective function is searched for as the hypersphere tangent to the hyperplanes which represent the boundary of the feasible domain. The numerical examples in problem of beam vibration show that the proposed method is straightforward and efficient in searching for minimal objective function.
- 一般社団法人日本機械学会の論文
- 1994-07-15
著者
-
Suzukl Keiko
Institute Of Industrial Science University Of Tokyo
-
Nakagiri Shigeru
Institute Of Industrial Science The 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