A non-probabilistic reliability topology optimization design method for continuum structures
A topology optimization and design method technology, applied in multi-objective optimization, design optimization/simulation, computer material science, etc., can solve the problems of weak initial sample dependence and insufficient information, and achieve the effect of taking into account security and improving economic benefits.
Active Publication Date: 2022-03-15
BEIHANG UNIV
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Problems solved by technology
Due to various uncertainties and insufficient information available in engineering practice, it is difficult to obtain the probability density function of uncertain parameters, but their variation range is easy to obtain
In this case, it is very convenient to use the non-probability set theory to describe the uncertain parameters and the reliability of the system, and its dependence on the initial sample is weak
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[0183] Such as image 3 The two-dimensional rectangular plate shown is fixed at both ends, the size of the thin plate is 50m×40m, the plate thickness is 1m, the median value of the elastic modulus E is 210GPa, and the median value of the density ρ is 7800kg / m 3 , Poisson's ratio μ=0.3. Divide the structure into 50x40 cells. The constraint is to make the fundamental frequency of the structure greater than ω 0 =2Hz, that is, the first-order eigenvalue λ 0 greater than 4. Let the material parameters and λ 0 Both have a fluctuation of 5%, that is, E I =[200,220]GPa, ρ I =[7410,8190]kg / m 3 ,
[0184] In the calculation of this example, the relative mass is used as the objective function, and the constraint is that the fundamental frequency of the structure is greater than λ 0 , for reliability topology optimization, the constraint is g≤0. The initial value of the relative bulk density of each unit is 0.7, and the topology optimization of the structure is carried out. ...
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The invention discloses a non-probability reliability topological optimization design method of a continuum structure under the mixed constraints of fundamental frequency and frequency interval. This method first uses a modified solid isotropic microstructure / material interpolation model with a penalty factor to eliminate the problem of local modes; uses the vertex combination method to obtain the upper and lower bounds of the natural frequency of the structure, and uses the boundary formula to overcome the mode in the optimization process. State exchange problem, so as to build a continuum structure non-probabilistic reliability topology optimization model under the mixed constraints of fundamental frequency and frequency interval; use the performance extreme value method to transform the original reliability index to overcome the convergence problem in optimization, and Use the compound function derivation rule to solve the sensitivity of the target performance extreme value to the design variables; adjust the parameters in the moving asymptotic algorithm (MMA), and perform iterative optimization calculations until the corresponding convergence conditions are met, and the fundamental frequency and frequency interval are satisfied. Degree-constrained optimization design scheme.
Description
technical field [0001] The invention relates to the field of topology optimization design of continuum structures under frequency constraints, in particular to a non-probabilistic reliability topology optimization design method of continuum structures under mixed constraints of fundamental frequency and frequency interval, which considers the elastic modulus and density of materials The influence of uncertainty on the stiffness of structures and the establishment of non-probabilistic reliability topology optimization schemes for continuum structures under the mixed constraints of fundamental frequency and frequency interval. Background technique [0002] In engineering practice, structures are not only subjected to static loads such as gravity, but also often subjected to vibration loads. For example, airplanes are affected by engine vibration and aerodynamic loads; machine tools are subjected to vibrations caused by high-speed rotation of motors and other factors when they ...
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IPC IPC(8): G06F30/23G06F30/17G16C60/00G06F111/06G06F111/10
CPCG16C60/00
Inventor 邱志平夏海军王磊张泽晟马铭
Owner BEIHANG UNIV