Equilibria and oscillations in a reversible mechanical system | Zendy

В. Н. Тхай | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Equilibria and oscillations in a reversible mechanical system

Author(s) -

В. Н. Тхай

Publication year - 2021

Publication title -

vestnik of saint petersburg university mathematics mechanics astronomy

Language(s) - English

Resource type - Journals

eISSN - 2587-5884

pISSN - 1025-3106

DOI - 10.21638/spbu01.2021.416

Subject(s) - continuation , pendulum , euler's formula , mechanical system , rigid body , upper and lower bounds , mathematics , classical mechanics , control theory (sociology) , physics , mathematical analysis , computer science , control (management) , quantum mechanics , artificial intelligence , programming language

The paper investigates symmetric periodic motions (SPM) of reversible mechanical systems. A solution is given to the problem of bilateral continuation of a nondegenerate SPM to the global family of such SPMs. The result is applied to the general case of Euler’s problem on a heavy rigid body, when the body parameters are not bound by equality conditions and two families of pendulum oscillations are found connecting the lower and upper equilibria.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research