Structural stress sensitivity solving method

Abstract

The invention discloses a structural stress sensitivity solving method. The structural stress sensitivity solving method comprises the following steps of 1: performing structural finite element analysis calculation, and selecting out a displacement value corresponding to a current unit node from a structural displacement array; 2: calculating a generalized inverse matrix of a global stiffness matrix; 3: establishing design variables, taking an area or thickness of a metal bar plate beam, and combining single layers, with same ply angles, of materials of a laminated plate with composite material layers into single design variables; 4: selecting out stress components currently serving as constraints, and determining to establish a selection matrix according to the type of a current unit andstress components of calculated sensitivity; 5: calculating a differential stiffness matrix corresponding to the current unit; 6: through a series of matrix multiplication operations of the generalized inverse matrix, the stress selection matrix, a stress matrix, a conversion matrix from global coordinates to unit coordinates, a displacement selection matrix, the differential stiffness matrix of units to design and the displacement array, performing sensitivity calculation of the stress of the current unit to the design variables; and 7: circulating the steps 4-6 according to the units to finish sensitivity solving of stress constraints of all the units.

Description

technical field [0001] The invention relates to the technical field of structural stress analysis, in particular to a method for solving structural stress sensitivity. Background technique [0002] Optimization technology is the only way to meet the increasing requirements of aircraft comprehensive performance and from inherited design, experience design to innovative design. [0003] With the development of technologies such as the integration of materials and structures, the scale of variables that can be designed in the structure is increasing. The fine optimization design based on the optimization model with more than 100,000 variables has been put on the agenda. In order to carry out the fine design of the structure, the stress must be considered as Due to the development of process preparation technology, the design results of stress control by unit can be directly manufactured without going through the traditional rounding process. From the perspective of program flow...

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Problems solved by technology

[0003] With the development of technologies such as the integration of materials and structures, the scale of variables that can be designed in the structure is increasing. The fine optimization design based on the optimization model with more than 100,000 variables has been put on the agenda. In order to carry out the fine design of the structure, the stress must be considered as Due to the development of process preparation technology, the design results of stress control by unit can be directly manufactured without going through the traditional rounding process. From the perspective of program flow organization, the use of stiffness matrix inversion is sensitive to large variables. Degree calculation is the most efficient program implementation method. Since the stiffness matrix is ​​usually singular, the conventional matrix inversion algorithm will encounter numerical solution difficulties, making it difficult to solve the stress sensitivity.

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