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: Intermediate Dynamics: A Linear Algebraic Approach
  name:
    name part: Howland, R. A.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Ling, Frederick F.
    role:
      role term: editor.
  name:
    name part: Hart, William Howard.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XX, 542 p. online resource.
  abstract: As the name implies, Intermediate Dynamics: A Linear Algebraic Approach views "intermediate dynamics"--Newtonian 3-D rigid body dynamics and analytical mechanics--from the perspective of the mathematical field. This is particularly useful in the former: the inertia matrix can be determined through simple translation (via the Parallel Axis Theorem) and rotation of axes using rotation matrices. The inertia matrix can then be determined for simple bodies from tabulated moments of inertia in the principal axes; even for bodies whose moments of inertia can be found only numerically, this procedure allows the inertia tensor to be expressed in arbitrary axes--something particularly important in the analysis of machines, where different bodies' principal axes are virtually never parallel. To understand these principal axes (in which the real, symmetric inertia tensor assumes a diagonalized "normal form"), virtually all of Linear Algebra comes into play. Thus the mathematical field is first reviewed in a rigorous, but easy-to-visualize manner. 3-D rigid body dynamics then become a mere application of the mathematics. Finally analytical mechanics--both Lagrangian and Hamiltonian formulations--is developed, where linear algebra becomes central in linear independence of the coordinate differentials, as well as in determination of the conjugate momenta. Features include: o A general, uniform approach applicable to "machines" as well as single rigid bodies. o Complete proofs of all mathematical material. Similarly, there are over 100 detailed examples giving not only the results, but all intermediate calculations. o An emphasis on integrals of the motion in the Newtonian dynamics. o Development of the Analytical Mechanics based on Virtual Work rather than Variational Calculus, both making the presentation more economical conceptually, and the resulting principles able to treat both conservative and non-conservative systems.
  table of contents: Linear Algebra -- Prologue -- Vector Spaces -- Linear Transformations on Vector Spaces -- Special Case—Square Matrices -- Epilogue -- 3-D Rigid Body Dynamics -- Prologue -- Kinematics -- Kinetics -- Epilogue -- Analytical Dynamics -- Prologue -- Analytical Dynamics: Perspective -- Lagrangian Dynamics: Kinematics -- Lagrangian Dynamics: Kinetics -- Integrals of Motion -- Hamiltonian Dynamics -- Epilogue.
  note: by R. A. Howland ; edited by Frederick F. Ling, William Howard Hart.
  subject:
    topic: Physics
  subject:
    topic: Mechanics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Computational intelligence
  subject:
    topic: Vibration
  subject:
    topic: Dynamical systems
  subject:
    topic: Dynamics
  subject:
    topic: Mechanical engineering
  subject:
    topic: Physics
  subject:
    topic: Mechanics
  subject:
    topic: Mechanical Engineering
  subject:
    topic: Vibration, Dynamical Systems, Control
  subject:
    topic: Computational Intelligence
  subject:
    topic: Appl.Mathematics/Computational Methods of Engineering
  classification: QC120-168.85
  classification: QA808.2
  classification: 531
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Mechanical Engineering Series
  identifier: 9780387283166
  identifier: http://dx.doi.org/10.1007/0-387-28316-1
  record info:
    record creation date: 100301
    record change date: 20151204160915.0
    record identifier: 978-0-387-28316-6