Vibration analysis method of elastic plate structure

A vibration analysis, elastic plate technology, applied in special data processing applications, instruments, electrical and digital data processing, etc., can solve problems such as low calculation accuracy, boundary condition application, cumbersome and other problems

Active Publication Date: 2018-03-20
HARBIN ENG UNIV
View PDF5 Cites 12 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] However, most of the existing Carnot high-order intercept fitting techniques solve the dynamic problems of elastic plate structures by embedding the finite element method (the typical literature is Carrera E. Theories and finite elements formultilayered, anisotropic, composite plates and shells[J ].Archives ofComputational Methods in Engineering,2002,9(2):87-140.Cinefra M,Valvano S.Avariable kinematic doubly-curved MITC9shell element for

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Vibration analysis method of elastic plate structure
  • Vibration analysis method of elastic plate structure
  • Vibration analysis method of elastic plate structure

Examples

Experimental program
Comparison scheme
Effect test

Embodiment Construction

[0061] In order to make the technical problems solved by the present invention, the adopted technical solutions and the achieved technical effects clearer, the present invention will be further described below in conjunction with the accompanying drawings.

[0062] The method execution steps of the present invention refer to figure 1 shown.

[0063] Consider a rectangular elastic plate structure such as figure 2 As shown, the cross-sectional dimension is L 1 = 2m, L 2 =3m, thickness of elastic plate h=0.2m, is isotropic material, Young’s modulus E=75GPa, density ρ=7800kg / m 3 , Poisson's ratio μ=0.3. The plate structure is simply supported on all sides without external loads. Utilize the inventive method to solve it, concrete steps are as follows:

[0064] (1) Carnot high-order interception technique is used to fit the displacement in the thickness direction of the elastic plate structure. The Taylor expansion order N=2 is selected from the ratio of thickness to length, ...

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

PUM

No PUM Login to view more

Abstract

The invention discloses a vibration analysis method of an elastic plate structure. The method includes the steps that the Carrera high-order interception technology is utilized for conducting fittingon the thickness-direction displacement of the elastic plate structure; the two-dimensional improved Fourier series is adopted for conducting full-solution-domain expansion on the plane displacement of the elastic plate structure; the overall displacement of the elastic plate structure is obtained through calculation based on the cross-section plane displacement and axial displacement of the elastic plate structure; the strain vector and stress vector of the elastic plate structure are calculated; a strain energy and kinetic energy equation of the elastic plate structure is calculated, and a virtual spring boundary is set to obtain boundary energy; a structural Lagrangian energy functional is established, and a kernel mass matrix and a stiffness matrix of the elastic plate structure are obtained through calculation; the overall mass matrix and stiffness matrix and the characteristic equation of the structure are obtained through an iterative loop kernel matrix; the inherent frequency of the elastic plate structure is calculated, and the vibration mode of the structure is output according to the feature vector. The method is suitable for elastic plate structures with multiple shapesand multiple boundary conditions, high in precision, fast in convergence and low in calculation cost.

Description

technical field [0001] The invention belongs to the field of structural dynamics, and in particular relates to a vibration analysis method of an elastic plate structure. Background technique [0002] Elastic plate structures are widely used in engineering equipment such as ships and ocean engineering, construction engineering, and aerospace, such as submarines, automobiles, and aircraft fuselages. In-depth study of the vibration characteristics of this type of structure and its parameter influence rules has important theoretical and practical guiding significance for the prediction of vibration and noise levels in the early design stage of equipment and the realization of low-noise design. [0003] The traditional elastic plate theory mainly includes thin plate bending theory and shear deformation theory, but the thin plate bending theory ignores the influence of strain, shear deformation and moment of inertia in the thickness direction of the structure, and is only suitable...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to view more

Application Information

Patent Timeline
no application Login to view more
IPC IPC(8): G06F17/50
CPCG06F30/20G06F2119/06
Inventor 叶天贵陈玉坤靳国永张春雨张艳涛王雪仁缪旭弘
Owner HARBIN ENG UNIV
Who we serve
  • R&D Engineer
  • R&D Manager
  • IP Professional
Why Eureka
  • Industry Leading Data Capabilities
  • Powerful AI technology
  • Patent DNA Extraction
Social media
Try Eureka
PatSnap group products

Browse by: Latest US Patents, China's latest patents, Technical Efficacy Thesaurus, Application Domain, Technology Topic.

© 2024 PatSnap. All rights reserved.Legal|Privacy policy|Modern Slavery Act Transparency Statement|Sitemap