Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints

DOI10.1016/S0045-7825(99)00056-0zbMath0943.90060MaRDI QIDQ1968617

Yoshihiro Kanno, Makoto Ohsaki, Katsuki Fujisawa, Naoki Katoh

Publication date: 10 September 2000

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

eigenvalueseigenvalue of vibrationglobal and local modessemi-definite programming algorithmstopology optimization problem of trusses

Mathematics Subject Classification ID

Semidefinite programming (90C22) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (9)

Semidefinite programming for uncertain linear equations in static analysis of structures ⋮ Sequential semidefinite program for maximum robustness design of structures under load uncertainty ⋮ On the maximization of the fundamental eigenvalue in topology optimization ⋮ A numerical algorithm for block-diagonal decomposition of matrix \(*\)-algebras with application to semidefinite programming ⋮ Confidence ellipsoids for static response of trusses with load and structural uncertainties ⋮ SEQUENTIAL SEMIDEFINITE PROGRAMMING FOR OPTIMIZATION OF FRAMED STRUCTURES UNDER MULTIMODAL BUCKLING CONSTRAINTS ⋮ Multiobjective dynamic topology optimization of truss with interval parameters based on interval possibility degree ⋮ Exploiting group symmetry in truss topology optimization ⋮ A new method of updating mass and stiffness matrices simultaneously with no spillover

Uses Software

• SDPA

Cites Work

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• Optimal structural design under multiple eigenvalue constraints
• Design sensitivity analysis of structural systems
• Sequential optimal truss generator for frequency ranges
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• Optimal topologies of truss structures
• Systematic occurrence of repeated eigenvalues in structural optimization
• A natural generator of optimum topology of plane trusses for specified fundamental frequency
• On single and bimodal optimum buckling loads of clamped columns
• Exploiting sparsity in primal-dual interior-point methods for semidefinite programming
• Interior-Point Methods for the Monotone Semidefinite Linear Complementarity Problem in Symmetric Matrices
• Optimization of structures with multiple frequency constraints
• An optimality criterion method for dynamic optimization of structures
• On the Implementation of a Primal-Dual Interior Point Method
• Robust Truss Topology Design via Semidefinite Programming
• Semidefinite Programming

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