An Infinite Elastic Plate Weakened by a Generalized Curvilinear Hole and Goursat Functions

The article concerns dynamics and vibration of a high power rotating system with toothed wheel coupling that inserts elastic plate packets. Theoretical modeling and simulation of the rotating system with toothed wheel coupling have been provided by a finite element method. Complex model involved a rotating system, hydrodynamic bearings and coupling. The dynamics of semi-couplings and plates have been simulated. Experimental measurement of vibration has been measured with stationary machine condition monitoring and a diagnostic system.

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Formulation of Ice Resistance in Level Ice Using Double-Plates Superposition

Journal of Marine Science and Engineering ◽

10.3390/jmse8110870 ◽

2020 ◽

Vol 8 (11) ◽

pp. 870

Author(s):

Liang Li ◽

Qingfei Gao ◽

Alexander Bekker ◽

Hongzhe Dai

Keyword(s):

Elastic Plate ◽

Approximate Model ◽

Ice Thickness ◽

Full Scale Test ◽

Ship Resistance ◽

Bending Resistance ◽

Level Ice ◽

Scale Test ◽

Coulomb Criterion ◽

Ice Resistance

The estimation of ship resistance in ice is a fundamental area of research and poses a substantial challenge for the design and safe use of ships in ice-covered waters. In order to estimate the ice resistance with greater reliability, we develop in this paper an improved Lindqvist formulation for the estimation of bending resistance in level ice based on the superposition of double-plates. In the developed method, an approximate model of an ice sheet is firstly presented by idealizing ice sheeta as the combination of a semi-infinite elastic plate and an infinite one resting on an elastic foundation. The Mohr–Coulomb criterion is then introduced to determine the ice sheet’s failure. Finally, an improved Lindqvist formulation for estimation of ice resistance is proposed. The accuracy of the developed formulation is validated using full-scale test data of the ship KV Svalbard in Norway, testing the model as well as the numerical method. The effect of ice thickness, stem angle and breadth of bow on ship resistance is further investigated by means of the developed formulation.

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Observing dual-mode second-harmonic generation in an isotropic nonlinear elastic plate

Ultrasonics ◽

10.1016/j.ultras.2021.106525 ◽

2021 ◽

pp. 106525

Author(s):

Krishnadas V. Kanakambaran ◽

Krishnan Balasubramaniam

Keyword(s):

Second Harmonic Generation ◽

Harmonic Generation ◽

Elastic Plate ◽

Second Harmonic ◽

Dual Mode ◽

Nonlinear Elastic Plate ◽

Nonlinear Elastic

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Bifurcation and Chaos of a 4-Side Simply Supported Rectangular Thin Electro-Magneto-Elastic Plate in Many Fields

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.97-101.442 ◽

2010 ◽

Vol 97-101 ◽

pp. 442-448

Author(s):

Wei Guo Zhu ◽

Xiang Zhong Bai

Keyword(s):

Elastic Plate ◽

Transverse Magnetic ◽

Temperature Fields ◽

Bifurcation And Chaos ◽

Simply Supported ◽

Runge Kutta Method ◽

Displacement Wave ◽

Nonlinear Temperature ◽

Electro Magnetic ◽

Chaos Motion

The problem of bifurcation and chaos in a 4-side simply supported rectangular thin electro-magneto-elastic plate in electro-magnetic, mechanical and temperature fields is studied. Based on the basic nonlinear electro-magneto-elastic motion equations for a rectangular thin plate and expressions of electromagnetic forces, vibration equations are derived for the mechanical loading in a nonlinear temperature field and a steady transverse magnetic field. By using Melnikov function method, the criteria are obtained for chaos motion to exist as demonstrated by the Smale horseshoe mapping. The vibration equations are solved numerically by using a fourth-order Runge-Kutta method. Its bifurcation diagram, Lyapunov exponents diagram, displacement wave diagram, phase diagram and Poincare section diagram are obtained for some examples. The characteristics of the vibration system are analyzed, and the roles of parameters on the systems are discussed separately as well, such as electromagnetic field intensity, temperature and mechanical force.

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