Optimization of Structures for Strength and Stability Requirements.
Abstract
An optimization method for minimum weight design of structures with static stability requirements is presented. The stability requirement is defined as a stiffness constraint and it is measured by the Rayleigh quotient. An optimality criterion is derived by the minimization procedure using a Lagrangian multiplier. A recursion relation for achieving the optimality ciriterion is also derived. The method is explained in the context of the displacement method of finite element analysis and the linear buckling load is determined by eigenvalue solution. The method is programmed for design of bar and beam structures. Designs are presented for columns with various end fixities, rectangular frames, and two and three dimensional bar structures. The proposed method is suitable for designing practical structures with a large number of design variables. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1973
- Accession Number
- AD0776774
Entities
People
- Laszlo Berke
- Narendra S. Khot
- Vipperla B. Venkayya
Organizations
- Flight Dynamics Laboratory