rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Nonlinear Dynamics of Structures
  name:
    name part: Oller, Sergio.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XIII, 192 p. online resource.
  abstract: This book lays the foundation of knowledge that will allow a better understanding of nonlinear phenomena that occur in structural dynamics. This work is intended for graduate engineering students who want to expand their knowledge on the dynamic behavior of structures, specifically in the nonlinear field, by presenting the basis of dynamic balance in non‐linear behavior structures due to the material and kinematics mechanical effects. Particularly, this publication shows the solution of the equation of dynamic equilibrium for structure with nonlinear time‐independent materials (plasticity, damage and frequencies evolution), as well as those time dependent non‐linear behavior materials (viscoelasticity and viscoplasticity). The convergence conditions for the non‐linear dynamic structure solution are studied, and the theoretical concepts and its programming algorithms are presented. .
  table of contents: Introduction -- Thermodynamic Basis of the Motion Equation -- Introduction -- Kinematics of the Deformable Bodies -- Basic definitions of tensors describing the kinematics of a point in the space -- Strain Measurements -- Mechanical variables relations -- The Objective Derivative -- Velocity -- Stress Measurements -- Thermodynamics Basis -- First Law of Thermodynamics -- Second Law of Thermodynamics -- Lagrangian local form of Mechanical Dissipation -- Internal Variables -- Dynamic Equilibrium Equation for a Discrete Solid -- Different types of Nonlinear Dynamic Problems -- Materials.Nonlinearity -- Solution of the Motion Equation -- Introduction -- Explicit-implicit solution -- Implicit solution -- Equilibrium at time (t + Δt) -- Equilibrium solution in time –implicit methods -- Newmark´s procedure -- Houbolt´s procedure -- Solution of the nonlinear-equilibrium equations system -- Newton-Raphson Method -- Modified Newton-Raphson Method -- Convergence accelerators -- Aitken accelerator or extrapolation algorithm -- B.F.G.S Algorithms -- Secant-Newton algorithms -- “Line-Search”algorithms -- Solution control algorithms – “Arc-Length” -- Ecuación de control de desplazamiento – Superficie esférica -- Convergence Analysis of the dynamic solution -- Introduction -- Reduction to the linear elastic problem -- Solution of second-order linear symmetric systems -- The dynamic equilibrium equation and its convergence-consistency and stability -- Solution stability of second –order linear symmetric systems -- Stability analysis procedure -- Determination of A and L for “Newmark” -- Determination of A and L for central differences- Newmark´s explicit form -- Solution stability of second-order non-linear symmetric systems -- Stability of the linearized equation -- Energy conservation algorithms -- APPENDIX - 1 -- APPENDIX - 2 -- Time-independent models -- Introduction -- Elastic behavior -- Invariant of the tensors -- Non-linear Elasticity -- Introduction -- Non-linear hyper-elas…
  note: by Sergio Oller.
  subject:
    topic: Engineering
  subject:
    topic: Mechanics
  subject:
    topic: Vibration
  subject:
    topic: Dynamical systems
  subject:
    topic: Dynamics
  subject:
    topic: Mechanical engineering
  subject:
    topic: Engineering
  subject:
    topic: Vibration, Dynamical Systems, Control
  subject:
    topic: Mechanics
  subject:
    topic: Mechanical Engineering
  classification: TA355
  classification: TA352-356
  classification: 620
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes on Numerical Methods in Engineering and Sciences
  identifier: 9783319051949
  identifier: http://dx.doi.org/10.1007/978-3-319-05194-9
  record info:
    record creation date: 140904
    record change date: 20151204155919.0
    record identifier: 978-3-319-05194-9