scholarly journals Stochastic P-bifurcation in a nonlinear viscoelastic beam model with fractional constitutive relation under colored noise excitation

2019 ◽  
Vol 38 (3-4) ◽  
pp. 1466-1480
Author(s):  
Yajie Li ◽  
Zhiqiang Wu ◽  
Guoqi Zhang ◽  
Feng Wang
Keyword(s):  
Constitutive Relation ◽  
Colored Noise ◽  
Beam Model ◽  
Viscoelastic Beam ◽  
Nonlinear Viscoelastic

scholarly journals A Modified Fractional Maxwell Numerical Model for Constitutive Equation of Mn-Cu Damping Alloy

Materials ◽  
2020 ◽  
Vol 13 (9) ◽  
pp. 2020
Author(s):  
Baoquan Mao ◽  
Rui Zhu ◽  
Zhiqian Wang ◽  
Yuying Yang ◽  
Xiaoping Han ◽  
...  
Keyword(s):  
Constitutive Equation ◽  
Strain Rate ◽  
Constitutive Relation ◽  
Constant Strain Rate ◽  
Strain Curve ◽  
Maxwell Model ◽  
Nonlinear Viscoelastic ◽  
Fractional Maxwell Model ◽  
Hysteretic Characteristics ◽  
Nonlinear Elastic

To better describe its constitutive relation, we need a new constitutive equation for an important nonlinear elastic material, Mn-Cu damping alloy. In this work, we studied the nonlinear and hysteretic characteristics of the stress-strain curve of the M2052 alloy with the uniaxial cyclic tensile test with constant strain rate. The strain rate and amplitude correlations of M2052 resembled those of nonlinear viscoelastic material. Therefore, we created a new constitutive equation for the M2052 damping alloy by modifying the fractional Maxwell model, and we used the genetic algorithm to carry out numerical fitting with MATLAB. By comparing with the experimental data, we confirmed that the new constitutive equation could accurately depict the nonlinear constitutive relation and hysteretic property of the damping alloy. Taken together, this new constitutive equation for Mn-Cu damping alloy based on the fractional Maxwell model can serve as an effective tool for further studies of the constitutive relation of the Mn-Cu damping alloys.

Dynamic Viscoelastic Beam Model for Finite Element Method

1990 ◽  
Vol 3 (1) ◽  
pp. 19-29 ◽  
Author(s):  
Joseph J. Rencis ◽  
Sunil Saigal ◽  
Kwo‐Yih Jong
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Beam Model ◽  
Viscoelastic Beam ◽  
Element Method

scholarly journals Nonlinear dynamics of a base-isolated beam under turbulent wind flow

2021 ◽  
Author(s):  
Simona Di Nino ◽  
Angelo Luongo
Keyword(s):  
Nonlinear Dynamics ◽  
Hopf Bifurcation ◽  
Perturbation Methods ◽  
Wind Flow ◽  
Viscoelastic Beam ◽  
Static Theory ◽  
Isolation System ◽  
Turbulent Wind ◽  
Nonlinear Viscoelastic ◽  
Mechanical Performances

AbstractA homogeneous continuous viscoelastic beam, describing the dynamics of a base-isolated tower, exposed to a uniformly distributed turbulent wind flow, is studied. The beam is constrained at the bottom end by a nonlinear viscoelastic device, and it is free at the top end. Aeroelastic forces are computed by the quasi-static theory. The steady component of wind is responsible for a Hopf bifurcation, and the turbulent component induces parametric excitation. The interaction between the two bifurcations is investigated. Critical and post-critical behavior is analyzed by perturbation methods. The mechanical performances of the structure are discussed to assess the effectiveness of the viscoelastic isolation system.

scholarly journals A thermoviscoelastic beam model for brakes

2004 ◽  
Vol 15 (2) ◽  
pp. 181-202 ◽  
Author(s):  
J. BAJKOWSKI ◽  
J. R. FERNÁNDEZW ◽  
K. L. KUTTLER ◽  
M. SHILLOR
Keyword(s):  
Numerical Scheme ◽  
Frictional Contact ◽  
Slip Rate ◽  
Thermomechanical Behavior ◽  
Frictional Heat ◽  
Beam Model ◽  
Viscoelastic Beam ◽  
Braking System ◽  
Frictional Heat Generation ◽  
Rate Dependent

A model for the dynamic thermomechanical behavior of a viscoelastic beam which is in frictional contact with a rigid rotating wheel is presented. It describes a simple braking system in which the wheel comes to a stop as a result of the frictional traction generated by the beam. Friction is modelled with a temperature and slip rate dependent coefficient of friction. Frictional heat generation is taken into account as well as the wheel temperature evolution, and the wear of the beam's contacting end. The model is formulated as a variational inequality. A FEM numerical scheme for the model is described, implemented, and the results of numerical simulations are shown.

Chaotic vibrations of a nonlinear viscoelastic beam

1996 ◽  
Vol 7 (2) ◽  
pp. 151-163 ◽  
Author(s):  
J. Argyris ◽  
V. Belubekian ◽  
N. Ovakimyan ◽  
M. Minasyan
Keyword(s):  
Viscoelastic Beam ◽  
Chaotic Vibrations ◽  
Nonlinear Viscoelastic
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