Oscillation Equations of a Rod with Rectilinear Axis

  • Vladimir FridmanEmail author
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)


Let us consider the longitudinal, torsional and transverse vibrations of a rod with a rectilinear axis of homogeneous material over its cross-section.


  1. 1.
    Mikhlin, S. G. (1950). Direct Methods in mathematical physics (p. 428). Moscow: State Technical Publishing. (in Russian).Google Scholar
  2. 2.
    Timoshenko S. P. (1956) Strength of materials, 3rd edn. Van Nostrand, NJ, Part 1, 1955, 442 p.; Part 2, 1956, 572 p.Google Scholar
  3. 3.
    Lusternik, L. A., & Sobolev, V. J. (1968). Elements of functional analysis (411 p.). Gordon and Breach.Google Scholar
  4. 4.
    Smirnov V. I. (1964). Course of higher mathematics (Vol. IV, 336 p.). Pergamon Press.Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Los AngelesUSA

Personalised recommendations