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Thursday, July 16, 2020 | History

2 edition of **Dynamics of viscollastic structures: a time-domain finite element formulation.** found in the catalog.

Dynamics of viscollastic structures: a time-domain finite element formulation.

David Frank Golla

- 3 Want to read
- 8 Currently reading

Published
**1986**
.

Written in English

The Physical Object | |
---|---|

Pagination | 117 leaves |

Number of Pages | 117 |

ID Numbers | |

Open Library | OL14764213M |

In this paper, the simplified and stable finite element method is presented for the time domain analysis of the transient dynamic viscoelastic problems, for which the weak form is obtained by applying the Galerkin's method to the equations of motion in time integral which do not contain the inertia terms explicitly, but the inertia effect is taken into account, and discretized spatially to. The method proposed here results in a viscoelastic finite element of a structure without increasing the order of the original model. Dynamics of Viscoelastic StructuresA Time-Domain, Finite.

The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures—particularly the Finite Element Method (FEM)—to important problems associated with heat conduction, incompressible viscous flows, and convection heat transfer. Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation Computers & Mathematics with Applications, Vol. 64, No. 11 Advanced Computational Dissipative Structural Acoustics and Fluid-Structure Interaction in Low-and Medium-Frequency Domains.

Viscoelastic parameters are first extracted from the storage modulus and loss factor normally reported in hand books with the help of Genetic Algorithm and then constitutive relationships are used to obtain the equations of motion of the continuum after discretizing it with finite beam elements. Viscoelastic Behavior Ya Wang aand Daniel J. Inmanb a,b Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan , USA This paper investigates the frequency dependent viscoelastic dynamics of a five layer multifunctional beam from finite element analysis and experimental validation.

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The aim of this paper is to raise the modeling of viscoelastic structures to a level consistent with the modeling of elastic structures. Appropriate material properties are identified which permit the standard finite element formulations used for undamped structures to be extended to viscoelastic by: Linear viscoelasticity has been used for a long time in structural analysis of time-dependent materials.

For finite elements, it can be described using the internal variable formulation and the ‘anelastic displacement field’ (ADF) method. In this paper, two variants of the method are developed and tested on numerical by: Finite element formulation. To obtain the finite element matrices for a linear viscoelastic beam, Eqs., should be discretized.

Consider the vector of element strains ɛ = [ε ∞ ε 1 ε n] T = Bq e, where q e is the vector of nodal displacements and B is the strain–displacement by: This research develops a time-domain finite element (FE) model and Galerkin-based numerical solution method for simulating dynamic viscoelastic responses of the layered half-space under loading pulses.

A computer code written in FORTRAN is developed for the numerical computation and validated by analytical solutions and numerical by: Numerical models based on finite element discretization have been frequently used in the analysis and design of complex structural systems incorporating viscoelastic materials.

Linear viscoelasticity has been used for a long time in structural analysis of time-dependent materials. For finite elements, it can be described using the internal variable formulation and the 'anelastic displacement field' (ADF) method. A time (Galerkin) finite element method (time FEM) for structural dynamics has been proposed in this work.

It is based on a well-posed variational formulation for transient dynamics which is simply expressed as a weighted integration of the strong form of governing equations. Golla, D.F., Hughes, P.C.: Dynamics of viscoelastic structures – a time domain finite formulation. Appl.

Mech. 52, – () MathSciNet CrossRef Google. The two-volume Structural Dynamics Fundamentals and Advanced Applications is a comprehensive work that encompasses the fundamentals of structural dynamics and vibration analysis, as well as advanced applications used on extremely large and complex systems.

In Volume II, d’Alembert’s Principle, Hamilton’s Principle, and Lagrange’s. Hence, effective methods for time-domain modeling of viscoelastic damping are needed.

This can be achieved through internal variables methods, such as the anelastic displacements fields and the Golla-Hughes-McTavish. Dynamics of Viscoelastic Structures—A Time-Domain, Finite Element Formulation,” Part 1: Formulation and Part 2.

A finite element formulation for the time-domain analysis of linear transient elastodynamic problems is presented based on the weak form obtained by applying the Galerkin's method to the integro. Finite element modeling of one-dimensional viscoelastic structures using anelastic displacement fields.

Dynamics of a viscoelastic rotor shaft using augmenting thermodynamic fields—A finite element approach. Time-domain finite element modeling and experimental results. The procedure outlined in this paper extends the finite element method to viscoelastic space structures; predictions of mode shapes, frequencies, and damping factors can be made based on a.

Enelund, M. and Josefson, B. M., 'Time-domain Finite Element analysis of viscoelastic structures with fractional derivatives constitutive relations', AIAA Journal 35(10),– Google Scholar.

A time domain model of linear viscoelasticity is developed based on a decomposition of the total displacement field into two parts: one elastic, the other anelastic. The anelastic displacement field is used to describe that part of the strain that is not instantaneously proportional to stress.

Dynamics of viscoelastic structures: a time-domain finite element formulation. Title. Dynamics of viscoelastic structures: a time-domain finite element formulation. Author. Golla, D.F. Institution. University of Toronto Institute for Aerospace Studies. Date. Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation Computers & Mathematics with Applications, Vol.

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The frequency-dependent viscoelastic dynamics of the sandwich beam were investigated by using finite element analysis and experimental validation. The stiffness and damping of the viscoelastic material core is frequency. Structures, Structural Dynamics, and Materials and Co-located Conferences Home; No Access.

Finite element prediction of damping in structures with constrained viscoelastic layers. Viscoelastic constrained-layer damping - Time-domain finite element .Young’s modulus ratio of structures to viscoelastic damping materials and the damping layer thickness effects on the damping ability are also explored.

Dynamics of Viscoelastic Structures—a Time Domain, Finite Element Formulation,”.This paper presents a formulation for incorporating nonlinear viscoelastic bushing elements into multibody systems. The formulation is based on the assumption that the relaxation function can be expressed as a sum of functions which are nonlinear in deformation and exponentially decreasing in time.

These forces can represent elastomeric mounts or bushings in automotive suspension systems.