Problems and Methods of Optimal Structural DesignThe author offers a systematic and careful development of many aspects of structural optimization, particularly for beams and plates. Some of the results are new and some have appeared only in specialized Soviet journals, or as pro ceedings of conferences, and are not easily accessible to Western engineers and mathematicians. Some aspects of the theory presented here, such as optimiza tion of anisotropic properties of elastic structural elements, have not been con sidered to any extent by Western research engineers. The author's treatment is "classical", i.e., employing classical analysis. Classical calculus of variations, the complex variables approach, and the Kolosov Muskhelishvili theory are the basic techniques used. He derives many results that are of interest to practical structural engineers, such as optimum designs of structural elements submerged in a flowing fluid (which is of obvious interest in aircraft design, in ship building, in designing turbines, etc.). Optimization with incomplete information concerning the loads (which is the case in a great majority of practical design considerations) is treated thoroughly. For example, one can only estimate the weight of the traffic on a bridge, the wind load, the additional loads if a river floods, or possible earthquake loads. |
Other editions - View all
Problems and Methods of Optimal Structural Design Nikolai Vladimirovich Banichuk Limited preview - 2013 |
Problems and Methods of Optimal Structural Design Nikolai Vladimirovich Banichuk No preview available - 2011 |
Common terms and phrases
anisotropic applied assume axes axis beam bending boundary conditions boundary-value problem c₁ c₂ calculus of variations computed condition of Eq conditions for optimality consider constant constraints of Eq contour control variable coordinate corresponding cross section cross-sectional area deflection function denote derive determined dimensionless Distributed Parameter Structures distribution of thickness dx dy eigenvalue elastic body elastic moduli equation f₁ formula func function h(x fundamental frequency given by Eq h₁ h₂ holes homogeneous function inequality of Eq integral isoperimetric condition J₁ Lagrange multiplier load Lp norm Mech minimizing minimum modulus obtain Optimal Control optimal design optimality condition optimization problem optimum distribution optimum shape plate problem of Eqs problems of optimal properties quantities region relations satisfying Eq solution solve stress Struct techniques theory tion torsional rigidity variation variational principle vector vibration w₁ Young's modulus