Method for calculating rigid-flexible coupling dynamics response of flexible rectangular thin plate based on B sample band

A dynamic response, rigid-flexible coupling technology, applied in computing, computer-aided design, design optimization/simulation, etc., can solve problems such as low accuracy

Inactive Publication Date: 2018-06-19
NANJING UNIV OF SCI & TECH
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  • Abstract
  • Description
  • Claims
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Problems solved by technology

The lateral deformation of the outer corner of the flexible rectangular thin plate calculated by this method is small, but the flexible machinery in modern industrial p

Method used

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  • Method for calculating rigid-flexible coupling dynamics response of flexible rectangular thin plate based on B sample band
  • Method for calculating rigid-flexible coupling dynamics response of flexible rectangular thin plate based on B sample band
  • Method for calculating rigid-flexible coupling dynamics response of flexible rectangular thin plate based on B sample band

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Embodiment 1

[0116] figure 2 It is a model diagram of a cantilever thin plate rotating around the y-axis with a fixed axis. In this embodiment, the length a=1.8288m of the sheet, the width b=1.2192m, the thickness h=0.00254m, and the density ρ=2×10 3 kg / m 3 , elastic modulus E=7×10 10 N / m 2 , Poisson's ratio μ=0.3. The fundamental frequency is 0.75Hz (4.71rad / s).

[0117] figure 2 The acceleration of the coordinate origin O is 0, that is, a 01 =a 02 =a 03 =0,ω 1 = ω 3 =0,ω 2 = ω, Here, the longitudinal deformation of the flexible thin plate is ignored, and only the lateral deformation is considered, then in formula (37) about q 1 ,q 2 The term is deleted, so the dynamic equation of the system is obtained as

[0118]

[0119] In formula (65)

[0120] K 33 = K f33 -ω 2 W 33 +ω 2 D. 11 (66)

[0121]

[0122] figure 2 The rotation law of the cantilever thin plate shown is:

[0123]

[0124] Among them, T=30s, the total simulation time t=40s.

[0125] i...

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Abstract

The invention provides a method for calculating a rigid-flexible coupling dynamics response of a flexible rectangular thin plate based on a B sample band. The method comprises the specific steps that1, a kinematic expression of kinetic energy and potential energy of the thin plate is established; 2, a discretization deformation field function, about w1, w2 and u3, of the thin plate is determinedby adopting the B sample band; 3, the discretization deformation field function, about w1, w2 and u3, of the thin plate is substituted back to the expression of the kinetic energy and potential energyof the thin plate, and a rigid-flexible coupling dynamics equation of the thin plate is established according to the Lagrange's equation. The method has the advantage of calculation precision in a rigid-flexible coupling dynamics response problem of a large-deformation flexible body. According to the method, the deformation field discretization method of the flexible body is enriched and expandedto a certain degree.

Description

technical field [0001] The invention relates to the technical field of discrete methods for deformation fields of flexible bodies, in particular to a method for calculating rigid-flexible coupling dynamic responses of flexible rectangular thin plates based on B-splines. Background technique [0002] The discretization of the deformation field of flexible bodies is a basic problem in the dynamics of flexible multibody systems. At present, it is assumed that the modal method and the finite element method are two widely used discretization methods for the deformation field. However, when the engineering structure is not a regular beam or plate structure, the limitation of the hypothetical modal method is that it is difficult to obtain the vibration mode function for complex flexible body structures, and when the engineering model changes, in order to meet the accuracy requirements More modes need to be superimposed, which reduces computational efficiency. The disadvantage of ...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23G06F2119/06
Inventor 章定国王勇
Owner NANJING UNIV OF SCI & TECH
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