Sensitivity solving method under multiple displacement constraints

Abstract

The invention discloses a sensitivity solving method under multiple displacement constraints. The sensitivity solving method comprises the following steps: constructing an airplane structure optimization model, and acquiring variables, boundary conditions and displacement constraint information of the optimization model under respective working conditions; performing static analysis, and calculating a real displacement; grouping the working conditions according to the boundary conditions and the displacement constraints to obtain a real displacement matrix U; performing reduction K according to the boundary conditions to form Ki; defining a virtual load array Pri according to the displacement constraints; solving the equation set Ki*Upsei=Pri; calculating unit differential matrixes Kde, and assembling a structural differential matrix Kd; and extracting respective columns of the real displacement matrix U, transposing the columns, multiplying the columns with corresponding columns of the structural differential stiffness matrix Kd and a virtual displacement array Upse to obtain each displacement constraint sensitivity of the current variable. The method solves the problem of sensitivity solving of multiple displacement constraints under different working conditions; no assumption of a boundary of a virtual working condition is needed in advance; and when a static balance equation is solved, the data reusability is considered, so that a sensitive information-based planning method can be applied to structural optimization problems under global constraints such as displacement.

Description

technical field [0001] The invention belongs to the field of aircraft structure design, and relates to a sensitivity solution method under multi-displacement constraints in the optimization design of an aircraft structure planning method. Background technique [0002] In the optimization design of aircraft structure, the planning method based on variable sensitivity information is an effective means to solve the optimization problem considering global constraints such as displacement and torsion angle. When analytical and semi-analytical methods are used to solve displacement constraint sensitivity, it is necessary to calculate the corresponding virtual displacement for each displacement constraint. Since aircraft structure analysis needs to simulate a variety of flight situations, the analysis model has a variety of working conditions and boundary conditions. When considering the continuity of structural deformation for the optimization of structures such as wings, it is of...

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Problems solved by technology

[0003] The purpose of the present invention is to provide a sensitivity solution method under multiple displacement constraints to solve the problem of sensitivity solution under multiple displacement constraints under different working conditions

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