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Difference Models and Solutions for Discrete Structural Systems

  • Donald L. Dean
Part of the International Centre for Mechanical Sciences book series (CISM, volume 203)

Abstract

As a simple object problem for dealing with systems in the title category, consider the beam continuous over spring supports (see Fig. 2) whose span properties (excluding loads) are cyclic and symmetric with respect to the midpoint; i.e., in Eq. 5b, Δr (ℓ/B)r = 0, = αr = αr′ = α and βr = β (for a prismatic beam α = 1/3 and β = 1/6). The governing equation, derived via the “three moment” or flexibility approach is
(43)
in which the terms are as defined for Eqs. 3 and 5 and γ = 1 + α/β or one plus the reciprocal of the carry over factor. The governing equation derived via the “slope-deflection” or stiffness approach is

Keywords

Satisfy Boundary Condition Load Term Sine Series Match Coefficient Cosine Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 1976

Authors and Affiliations

  • Donald L. Dean
    • 1
  1. 1.North Carolina State UniversityRaleighUSA

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