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Analytical methods of theoretical physics in the modeling of building structures

Autor(en):

Medium: Fachartikel
Sprache(n): Englisch
Veröffentlicht in: Journal of Physics: Conference Series, , n. 1, v. 1425
Seite(n): 012180
DOI: 10.1088/1742-6596/1425/1/012180
Abstrakt:

In this paper, on the basis of the variational principle of the least Hamilton action, the field-theoretic Lagrange equations of the 2nd kind are derived in the presence of a dependence of the density of the Lagrange function on the higher derivatives. On the basis of the obtained equations, written in terms of variables that most fully reflect hypotheses and used assumptions, the equations of continuum mechanics are obtained and the Timoshenko, Rayleigh and Euler-Bernoulli beam models are calculated. It is shown that the method used leads to a more efficient method of obtaining partial differential equations describing the dynamics of deflection of beams. The possibility of taking into account the distributed load and the elastic base in the Lagrangian formalism is noted. The possibility of further development of analytical and theoretical-physical methods in application to mathematical modeling of building structures is analyzed.

Structurae kann Ihnen derzeit diese Veröffentlichung nicht im Volltext zur Verfügung stellen. Der Volltext ist beim Verlag erhältlich über die DOI: 10.1088/1742-6596/1425/1/012180.
  • Über diese
    Datenseite
  • Reference-ID
    10671848
  • Veröffentlicht am:
    02.06.2022
  • Geändert am:
    02.06.2022
 
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