Erratum: “Rheological Equations of Generalized Maxwell Model and Voigt Model in Three-Dimensional, Non-Linear Deformation”

1961 ◽  
Vol 16 (4) ◽  
pp. 845A-845A
Author(s):  
Wataru Segawa
Keyword(s):  
Three Dimensional ◽  
Maxwell Model ◽  
Linear Deformation ◽  
Generalized Maxwell Model ◽  
Non Linear ◽  
Voigt Model

scholarly journals Nonlinear analysis of water-soil-barrage floor interaction

2018 ◽  
Vol 162 ◽  
pp. 03013
Author(s):  
Abdul-Hassan Al-Shukur ◽  
Atheer Zaki Al-Qaisi ◽  
Ayaat Majid Al-Rammahi
Keyword(s):  
Three Dimensional ◽  
Seepage Flow ◽  
Linear Analysis ◽  
Exit Point ◽  
Rock Foundation ◽  
Operation Condition ◽  
Linear Deformation ◽  
Structure Interaction ◽  
Non Linear ◽  
Different Characteristics

Fluid - Structure Interaction (FSI) and Soil-Structure Interaction (SSI) are mostly considered in the non-linear analysis of water-soil-barrage floor interaction. A three dimensional (3D) - section of a barrage is selected and modelled via ANSY 15.0. The ogge barrage floor shape has been taken as a case study of analysis. The non-linear analysis of the structure model is developed through selecting suitable available elements in ANSYS which are related to the case under study and is compared with linear analysis. The results of the analysis are obtained by suggesting different characteristics of concrete, soil, and rock materials as a parametric study. Both closed barrage and in operation are the cases have been considered in analysis. It is concluded from this study that ANSYS/APDL is adequate tool to simulate and analysis the problem that need sufficient experiences to select suitable available elements to get the acceptable results. It is also concluded that the deformation in barrage floor has little difference by (6%) in linear and non-linear analysis in case of no operation. While this deformation in non-linear analysis with operation condition is less by (13%) than of no operation case. The non-linear deformation of barrage floor is more effective by change of density of barrage concrete itself, modulus of elasticity and yield stress of both soil and rock foundation materials, while no sensitive effect of change of Poisson’s ratio on the deformation. The maximum seepage flow at exit point downstream barrage floor with upstream and downstream piles is lesser by (67.40%) than without pile. In the view of stability, it is concluded that the barrage floor is already safe in exist gradient and piping problems with or without piles.

scholarly journals Non-Linear Generalized Maxwell Model for Dynamic Characterization of Viscoelastic Components and Parametric Identification Techniques

2012 ◽  
Author(s):  
Hanen Jrad ◽  
Jean Luc Dion ◽  
Franck Renaud ◽  
Imad Tawfiq ◽  
Mohamed Haddar
Keyword(s):  
Dynamic Stiffness ◽  
Maxwell Model ◽  
Parametric Identification ◽  
Mechanical Analysis ◽  
Dynamical Behaviour ◽  
Static Displacement ◽  
Generalized Maxwell Model ◽  
Non Linear ◽  
Identification Techniques

Viscoelastic components are incorporated into automobile and aerospace structures system in order to damp mechanical vibrations. Viscoelastic components are a key element in designing desired dynamic behaviour of mechanical systems. Viscoelastic components dynamic characteristics are often very complex, due to the dependence of its response on several variables, such as frequency, amplitude, preload, and temperature. These dependencies can be critical in capturing the mechanical proprieties and so non linear dynamical behaviour may appear. Assuming that non linearities are due to non linear elasticity, the non linear Generalized Maxwell Model (GMM) is proposed to characterize dynamics of viscoelastic components. Parameters of GMM are identified from Dynamic Mechanical Analysis (DMA) tests for different excitation frequencies. A particular result from identification is that the non linear stiffness is dependent upon displacement amplitude and static displacement under static preload. The significance of this result is that the non linear dynamics of the viscoelastic component can be represented by a simple analytical model capable to produce accurate results. Comparison between measurements and simulations of dynamic stiffness of viscoelastic component has been carried on.

Formulations of Viscoelastic Constitutive Laws for Beams in Flexible Multibody Dynamics

2015 ◽  
Author(s):  
Olivier A. Bauchau ◽  
Zijing Lao ◽  
Joachim Linn
Keyword(s):  
Multibody Dynamics ◽  
Three Dimensional ◽  
Flexible Multibody Dynamics ◽  
Maxwell Model ◽  
Constitutive Laws ◽  
Beam Model ◽  
Viscoelastic Beam ◽  
Generalized Maxwell Model ◽  
Flexible Multibody ◽  
Beam Theories

It is often necessary to consider material dissipation effects in structural dynamics analysis. A novel three-dimensional viscoelastic beam formulation is proposed. A systematic procedure is proposed to incorporate existing viscoelastic material models into beam theories. The generalized Maxwell model is used to demonstrate the procedure. Starting from a three-dimensional beam theory, classical material viscoelastic constitutive laws are used to develop viscoelastic beam models for flexible multibody dynamics. In contrast with classical beam theories, the proposed beam formulation captures three-dimensional stress and strains distributions based on a novel dimensional reduction method, and models dissipative phenomena at the same time. All cross-sectional deformation modes are considered in the formulation. With the generalized Maxwell model, the formulation is valid for a broad range of frequencies. Because it is based on a three-dimensional formulation, the proposed approach uses a decomposition of the strain tensor into bulk and deviatoric components, thereby eliminating Poisson locking effects. This is particularly important because many highly dissipative materials are also nearly incompressible. Numerical examples are presented to illustrate these characteristics. Because the formulation developed is a beam model, it is computationally efficient and can be used for the simulation of flexible multibody dynamics systems.

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