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Analytical dependence of the lower bound of the natural oscillation frequencies of the manipulator truss from the number of panelsстатья
- Авторы: Kirsanov M.N., Jiaxuan S.
- Журнал: Строительная механика и конструкции
- Том: 1
- Номер: 28
- Год издания: 2021
- Первая страница: 32
- Последняя страница: 38
- Аннотация: An analytical estimation of the fundamental frequency of oscillations of a planar statically determinate model of a manipulator with an arbitrary number of panels in the console part and rack is derived by the method of induction using two parameters with the involvement of operators of the Maple computer mathematics system. The mass is allocated to the nodes of the lower belt of the console. To output the formula, the operators of the specialized LinearAlgebra and genfunc packages are used. The coefficients in the desired formula are found as solutions of recurrent equations composed according to a series of solutions for trusses with a consistently increasing number of panels. Compared to similar solutions for planar regular trusses that use Dunkerley estimation, the solution is distinguished by its high accuracy. Numerical analysis of the truss oscillation spectrum, taking into account many degrees of freedom, shows that the error of the obtained analytical estimate does not exceed 2% on average .
- Добавил в систему: Кирсанов Михаил Николаевич