Skip to main content

Mathematical Model

  • Chapter
  • First Online:
Dynamics of Cyclic Machines

Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

  • 1034 Accesses

Abstract

Composition of the systems of differential equations (the so-called mathematical models) is one of the most important steps of any dynamic analysis. Here is presented some information about analytical mechanics that are taken into account . Composition of differential equations for drives with cyclic mechanisms has the following features: nonlinear constraints, implemented in mechanisms; special form of the second-kind Lagrange equations with redundant coordinates; generation of Appell’s differential equations for holonomic systems; generation of differential equations by using the inverse method.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Iosif Vulfson .

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Vulfson, I. (2015). Mathematical Model. In: Dynamics of Cyclic Machines. Foundations of Engineering Mechanics. Springer, Cham. https://doi.org/10.1007/978-3-319-12634-0_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-12634-0_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12633-3

  • Online ISBN: 978-3-319-12634-0

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics