Robust Truss Topology Design via Semidefinite Programming
نویسندگان
چکیده
We present and motivate a new model of the truss topology design problem, where the rigidity of the resulting truss with respect both to given loading scenarios and small “occasional” loads is optimized. It is shown that the resulting optimization problem is a semidefinite program. We derive and analyze several equivalent reformulations of the problem and present illustrative numerical examples.
منابع مشابه
Robust Semidefinite Programming∗
In this paper, we consider semidefinite programs where the data is only known to belong to some uncertainty set U . Following recent work by the authors, we develop the notion of robust solution to such problems, which are required to satisfy the (uncertain) constraints whatever the value of the data in U . Even when the decision variable is fixed, checking robust feasibility is in general NP-h...
متن کاملMATHEMATICAL ENGINEERING TECHNICAL REPORTS A Mixed Integer Programming for Robust Truss Topology Optimization with Stress Constraints
This paper presents a formulation of robust topology optimization of trusses subjected to the stress constraints under the load uncertainty. A design-dependent uncertainty model of external loads is proposed for considering the variation of truss topology in the course of optimization. For a truss with the discrete member cross-sectional areas, it is shown that the robust topology optimization ...
متن کاملExploiting group symmetry in truss topology optimization
We consider semidefinite programming (SDP) formulations of certain truss topology optimization problems, where a lower bound is imposed on the fundamental frequency of vibration of the truss structure. These SDP formulations were introduced in: [M. Ohsaki, K. Fujisawa, N. Katoh and Y. Kanno, Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints, Co...
متن کاملNew branch and bound approaches for truss topology design with discrete areas
One of the classical problems in the structural optimization field is to find the stiffest truss, under a given load and with a bound on the total volume. This is a well-studied problem for continuous cross sectional areas. Generally, the optimal solutions obtained for this problem contain bars with many different cross sectional areas. However, in real life, only a finite set of possible value...
متن کاملA Branch and Bound approach for truss topology design problems with valid inequalities
One of the classical problems in the structural optimization field is the Truss Topology Design Problem (TTDP) which deals with the selection of optimal configuration for structural systems for applications in mechanical, civil, aerospace engineering, among others. In this paper we consider a TTDP where the goal is to find the stiffest truss, under a given load and with a bound on the total vol...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- SIAM Journal on Optimization
دوره 7 شماره
صفحات -
تاریخ انتشار 1997