Structural dynamics topological optimization method and system considering frequency band constraint and application

A topology optimization and dynamics technology, applied in design optimization/simulation, special data processing applications, instruments, etc., can solve problems such as the inability to give a certain frequency range, and achieve the effect of avoiding resonance phenomenon, realizing upgrades, and improving machining accuracy.

Pending Publication Date: 2020-08-28
SHANDONG UNIV
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  • Abstract
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  • Claims
  • Application Information

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Problems solved by technology

The existing technology also proposes a free vibration topology optimization method that maximizes the frequency gap. Although this method considers the maximum frequency difference between adjacent orders, the structural mode order considered needs to be determined in advance, and a definite frequency band cannot be given. scope

Method used

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  • Structural dynamics topological optimization method and system considering frequency band constraint and application
  • Structural dynamics topological optimization method and system considering frequency band constraint and application
  • Structural dynamics topological optimization method and system considering frequency band constraint and application

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Embodiment 1

[0041] This embodiment provides a structural dynamics topology optimization method considering frequency band constraints, such as figure 1 shown, including:

[0042] Establish a frequency band constraint expression, and calculate the sensitivity of the frequency band constraint expression;

[0043] According to the sensitivity information, the frequency band constraint expression is integrated into the dynamic topology optimization model, and the forbidden band structure under the set frequency range is obtained.

[0044] Specifically, the following steps are included:

[0045] Step 1: Determine the structure to be designed and divide the mesh, define the design domain for topology optimization, and the cell density ρ in the design domain e (e=1,...,N e ) is the design variable, N e is the number of units in the design domain.

[0046] Step 2: Add boundary conditions according to the actual working conditions, and calculate the element stiffness matrix K e (e=1,...,N e...

Embodiment 2

[0066] This embodiment provides an application of a structural dynamics topology optimization method considering frequency band constraints in the structural design of high-end machine tools. Specifically, taking the simulated machine tool workbench as an example, its materials are divided into material 1 (elastic modulus E=2 *10 11 ) and material 2 (elastic modulus E=2*10 9 ). After design, the material consumption of material 1 is 62.5%, the four corner nodes of the lower surface are fixed, and a lumped mass block with a size of M=10N is added to the middle of the upper surface to simulate the processed object. The design domain and undesignable domain are as follows: figure 2 shown.

[0067] Step 1: Define the design domain of topology optimization as a cuboid with a=1m, b=0.5m, c=0.08m, the number of grids is 100*50*8, and the cell density ρ is defined e (e=1,...,40000) are design variables.

[0068] Step 2: Add boundary conditions according to the actual working cond...

Embodiment 3

[0083] This embodiment provides a structural dynamics topology optimization system considering frequency band constraints, including:

[0084] A frequency band constraint expression building module is used to establish a frequency band constraint expression and calculate the sensitivity of the frequency band constraint expression;

[0085] The forbidden band structure acquisition module is used to integrate the frequency band constraint expression into the dynamic topology optimization model according to the sensitivity information, and obtain the forbidden band structure under the set frequency range.

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Abstract

The invention discloses a structural dynamics topological optimization method and system considering frequency band constraint and application. The technical scheme is that the method comprises the steps: building a frequency band constraint expression, and calculating the sensitivity of the frequency band constraint expression; and integrating the frequency band constraint expression into a dynamic topological optimization model according to the sensitivity information to obtain a forbidden band structure in a set frequency range. According to the method, a frequency band constraint mathematical expression formula with the characteristics of continuity, differentiability and the like is established on the basis of an improved Heaviside function; by deriving the sensitivity of the functionand integrating the sensitivity of the function into a traditional dynamic topological optimization model, the structural forbidden band design in a specified frequency range is realized.

Description

technical field [0001] The invention relates to the technical field of structural topology optimization, in particular to a structural dynamics topology optimization method, system and application considering frequency band constraints. Background technique [0002] During the high-speed cutting process of the machine tool, the reciprocating moving parts will cause inertial impact, cutting impact and other external loads when changing the cutting direction, causing the machine tool structure to vibrate. The vibration of the machine tool will affect the processing quality, reduce the life of the tool and generate noise pollution, so the simulation of the vibration phenomenon in the processing process has become an important research direction. When the external excitation frequency is equal to or close to the natural frequency of the structure, resonance will occur. Therefore, reasonable adjustment of the natural frequency of the structure to avoid the common frequency of pro...

Claims

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Application Information

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IPC IPC(8): G06F30/20G06F119/14
CPCG06F30/20G06F2119/14
Inventor 李取浩吴强波张松李建勇满佳
Owner SHANDONG UNIV
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