On Nonlinear Equations of a Beam

  • Amalia Pielorz
Conference paper
Part of the Lecture Notes in Engineering book series (LNENG, volume 28)


Nonlinear equations for beams are derived in the litera­ture under various assumptions, [1–5]. The problem of major interest in regard to dynamic deflections has been the vibration of beams with ends restrained to remain a fixed distance apart, where the nonlinearity arises from the stretching of the middle line and leads to one non­linear partial differential equation of the fourth order, [1]. More complicated equations are studied in [2–5]. Nonlinearities there are of the geometric nature, and although dynamic deflections of beams are large strains remain small so that linear constitutive equations are valid.


Galerkin Method Cantilever Beam Nonlinear Vibration Maxwell Model Elastic Beam 
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Literature references

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Copyright information

© Springer-Verlag Berlin, Heidelberg 1987

Authors and Affiliations

  • Amalia Pielorz
    • 1
  1. 1.Institute of Fundamental Technological ResearchWarsawPoland

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