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Author: National Aeronautics and Space Adm Nasa Publisher: Independently Published ISBN: 9781723749384 Category : Science Languages : en Pages : 34
Book Description
An elastic large displacement thick-shell mixed finite element is modified to allow for the calculation of viscoelastic stresses. Internal strain variables are introduced at the element's stress nodes and are employed to construct a viscous material model. First order ordinary differential equations relate the internal strain variables to the corresponding elastic strains at the stress nodes. The viscous stresses are computed from the internal strain variables using viscous moduli which are a fraction of the elastic moduli. The energy dissipated by the action of the viscous stresses is included in the mixed variational functional. The nonlinear quasi-static viscous equilibrium equations are then obtained. Previously developed Taylor expansions of the nonlinear elastic equilibrium equations are modified to include the viscous terms. A predictor-corrector time marching solution algorithm is employed to solve the algebraic-differential equations. The viscous shell element is employed to computationally simulate a stair-step loading and unloading of an aircraft tire in contact with a frictionless surface.Johnson, Arthur R. and Tanner, John A. and Mason, Angela J.Langley Research CenterFINITE ELEMENT METHOD; AIRCRAFT TIRES; VISCOELASTICITY; MATHEMATICAL MODELS; ELASTIC SHELLS; DIFFERENTIAL EQUATIONS; PREDICTOR-CORRECTOR METHODS; STRESS ANALYSIS; MODULUS OF ELASTICITY; EQUILIBRIUM EQUATIONS; ALGORITHMS; NONLINEAR EQUATIONS
Author: National Aeronautics and Space Adm Nasa Publisher: Independently Published ISBN: 9781723749384 Category : Science Languages : en Pages : 34
Book Description
An elastic large displacement thick-shell mixed finite element is modified to allow for the calculation of viscoelastic stresses. Internal strain variables are introduced at the element's stress nodes and are employed to construct a viscous material model. First order ordinary differential equations relate the internal strain variables to the corresponding elastic strains at the stress nodes. The viscous stresses are computed from the internal strain variables using viscous moduli which are a fraction of the elastic moduli. The energy dissipated by the action of the viscous stresses is included in the mixed variational functional. The nonlinear quasi-static viscous equilibrium equations are then obtained. Previously developed Taylor expansions of the nonlinear elastic equilibrium equations are modified to include the viscous terms. A predictor-corrector time marching solution algorithm is employed to solve the algebraic-differential equations. The viscous shell element is employed to computationally simulate a stair-step loading and unloading of an aircraft tire in contact with a frictionless surface.Johnson, Arthur R. and Tanner, John A. and Mason, Angela J.Langley Research CenterFINITE ELEMENT METHOD; AIRCRAFT TIRES; VISCOELASTICITY; MATHEMATICAL MODELS; ELASTIC SHELLS; DIFFERENTIAL EQUATIONS; PREDICTOR-CORRECTOR METHODS; STRESS ANALYSIS; MODULUS OF ELASTICITY; EQUILIBRIUM EQUATIONS; ALGORITHMS; NONLINEAR EQUATIONS
Author: J.R. Whiteman Publisher: Elsevier ISBN: 0080548687 Category : Technology & Engineering Languages : en Pages : 431
Book Description
The tenth conference on The Mathematics of Finite Elements and Applications, MAFELAP 1999, was held at Brunel University during the period 22-25 June, 1999. This book seeks to highlight certain aspects of the state-of-the-art theory and applications of finite element methods of that time.This latest conference, in the MAFELAP series, followed the well established MAFELAP pattern of bringing together mathematicians, engineers and others interested in the field to discuss finite element techniques.In the MAFELAP context finite elements have always been interpreted in a broad and inclusive manner, including techniques such as finite difference, finite volume and boundary element methods as well as actual finite element methods. Twenty-six papers were carefully selected for this book out of the 180 presentations made at the conference, and all of these reflect this style and approach to finite elements. The increasing importance of modelling, in addition to numerical discretization, error estimation and adaptivity was also studied in MAFELAP 1999.
Author: Angela J. Mason Publisher: ISBN: Category : Airplanes Languages : en Pages : 28
Book Description
Stair-step loading, cyclic loading, and long-term relaxation tests were performed on an aircraft tire to observe the quasi-static viscoelastic response of the tire. The data indicate that the tire continues to respond viscoelastically even after it has been softened by deformation. Load relaxation data from the stair-step test at the 15000-lb loading was fit to a monotonically decreasing Prony series.
Author: Publisher: ISBN: Category : Aeronautics Languages : en Pages : 602
Book Description
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author: National Aeronautics and Space Adm Nasa
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Author: Haym Benaroya
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