Study on the dynamic behavior of axially moving rectangular plates partially submersed in fluid

2015 ◽  
Vol 28 (6) ◽  
pp. 706-721 ◽  
Author(s):  
Yanqing Wang ◽  
Wei Du ◽  
Xiaobo Huang ◽  
Senwen Xue
Keyword(s):  
Dynamic Behavior ◽  
Rectangular Plates ◽  
Axially Moving

DYNAMIC BEHAVIOR OF AXIALLY MOVING SYSTEMS WITH ELASTIC SUPPORTS

2019 ◽  
Author(s):  
Gabriella Nehemy ◽  
Paulo Gonçalves ◽  
EDSON CAPELLO SOUSA
Keyword(s):  
Dynamic Behavior ◽  
Elastic Supports ◽  
Axially Moving

Variational Principles for Non-Material Systems Within an Arbitrary Lagrangian Eulerian Description of Motion

2020 ◽  
Author(s):  
Giuseppe Pennisi ◽  
Olivier Bauchau
Keyword(s):  
Finite Element ◽  
Dynamic Behavior ◽  
Variational Principles ◽  
Material System ◽  
Arbitrary Lagrangian Eulerian ◽  
Complex Dynamic ◽  
Eulerian Description ◽  
Material Systems ◽  
Axially Moving ◽  
Dynamic Description

Abstract Dynamics of axially moving continua, such as beams, cables and strings, can be modeled by use of an Arbitrary La-grangian Eulerian (ALE) approach. Within a Finite Element framework, an ALE element is indeed a non-material system, i.e. a mass flow occurs at its boundaries. This article presents the dynamic description of such systems and highlights the peculiarities that arise when applying standard mechanical principles to non-material systems. Starting from D’Alembert’s principle, Hamilton’s principle and Lagrange’s equations for a non-material system are derived and the significance of the additional transport terms discussed. Subsequently, the numerical example of a length-changing beam is illustrated. Energetic considerations show the complex dynamic behavior non-material systems might exhibit.

Modeling and numerical simulation of the dynamic behavior of magneto-electro-elastic multilayer plates based on a Winkler-Pasternak elastic foundation

2020 ◽  
pp. 1045389X2096984
Author(s):  
Mustapha Hamidi ◽  
Smail Zaki ◽  
Mohamed Aboussaleh
Keyword(s):  
Dynamic Behavior ◽  
Elastic Foundation ◽  
Dynamic Responses ◽  
Inversion Method ◽  
Rectangular Plates ◽  
Laplace Domain ◽  
Pasternak Elastic Foundation ◽  
Voigt Model ◽  
The Time Domain ◽  
Orthotropic Behavior

This work presents the effect of the elastic foundation and the viscoelastic interface on the dynamic behavior of laminated magneto-electro-elastic rectangular plates with simply supported boundary conditions using the state space method in Laplace domain. The Kelvin-Voigt model is used to take into accounted the viscoelastic interface effects in this domain. The final solution is transferred to the time domain by the Fourier inversion method. The dynamic responses of 3D displacements, stresses, and electric and magnetic displacements are analyzed with respect to the thickness direction and the orthotropic behavior under harmonic stress. A variant of the numerical tests shown the effect of the Winkler-Pasternak elastic foundation on a magneto-electro-elastic rectangular plates dynamic behavior and may contribute to optimize the design and the manufacturing of these materials.

Vibrations of Axially Moving Vertical Rectangular Plates in Contact with Fluid

2016 ◽  
Vol 16 (02) ◽  
pp. 1450092 ◽  
Author(s):  
Yan Qing Wang ◽  
Sen Wen Xue ◽  
Xiao Bo Huang ◽  
Wei Du
Keyword(s):  
Boundary Conditions ◽  
Plate Theory ◽  
Fluid Pressure ◽  
Added Mass ◽  
Vibration Characteristics ◽  
Rectangular Plates ◽  
Moving Plate ◽  
Bernoulli’S Equation ◽  
Aspect Ratios ◽  
Axially Moving

The vibration characteristics of an axially moving vertical plate immersed in fluid and subjected to a pretension are investigated, with a special consideration to natural frequencies, complex mode functions and critical speeds of the system. The classical thin plate theory is adopted for the formulation of the governing equation of motion of the vibrating plates. The effects of free surface waves, compressibility and viscidity of the fluid are neglected in the analysis. The velocity potential and Bernoulli’s equation are used to describe the fluid pressure acting on the moving plate. The effect of fluid on the vibrations of the plate may be regarded as equivalent to an added mass on the plate. The formulation of added mass is obtained from kinematic boundary conditions of the plate–fluid interfaces. The effects of some system parameters such as the moving speed, stiffness ratios, location and aspect ratios of the plate and the fluid-plate density ratios on the above-mentioned vibration characteristics of the plate–fluid system are investigated in detail. Various different boundary conditions are considered in the study.

Dynamic behavior of rigid-plastic rectangular plates

1985 ◽  
Vol 21 (7) ◽  
pp. 683-690 ◽  
Author(s):  
K. L. Komarov ◽  
Yu. V. Nemirovskii
Keyword(s):  
Dynamic Behavior ◽  
Rectangular Plates ◽  
Rigid Plastic
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