Analysis of Dynamic Behavior of Beams with Variable Cross-section
- Авторлар: Saurin V.1
-
Мекемелер:
- Ishlinsky Institute for Problems in Mechanics
- Шығарылым: Том 40, № 3 (2019)
- Беттер: 364-374
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/204186
- DOI: https://doi.org/10.1134/S1995080219030168
- ID: 204186
Дәйексөз келтіру
Аннотация
A formulation of a boundary value problem to find natural frequencies of an inhomogeneous beam in the framework of the Euler–Bernoulli hypotheses are represented. Questions related to various classical variational formulations for a spectral problem arising in the beam theory are discussed. Particularities of the application of the Hamiltonian principles to boundary-value problems are considered. The method of integro-differential relations, which is an alternative to the classical variational approaches is discussed. Various bilateral energy quality estimates for approximate solutions that follow from the method of integro-differential relations are proposed. In the final part of the paper advantages of the variational technique in problems of free vibrations of inhomogeneous beams are discussed based on a numerical example.
Авторлар туралы
V. Saurin
Ishlinsky Institute for Problems in Mechanics
Хат алмасуға жауапты Автор.
Email: saurin@ipmnet.ru
Ресей, pr. Vernadskogo 101, korp. 1, Moscow, 119526