The Displacement-Frequency Characteristic of Elastically Coupled Mechanical Systems with Two Degrees of Freedom

1949 ◽  
Vol 62 (9) ◽  
pp. 579-588 ◽  
Author(s):  
D H Peirson
Keyword(s):  
Frequency Characteristic ◽  
Degrees Of Freedom ◽  
Mechanical Systems ◽  
Two Degrees Of Freedom

An Extension of Rayleigh's Principle

1994 ◽  
Vol 22 (2) ◽  
pp. 83-90
Author(s):  
Alfonso Díaz-Jiménez ◽  
Gentil A. Estévez-Bretón
Keyword(s):  
Present Article ◽  
Degrees Of Freedom ◽  
Mechanical Systems ◽  
Natural Generalization ◽  
Vibrational Frequencies ◽  
Exact Results ◽  
Two Degrees Of Freedom ◽  
Elegant Method ◽  
Three Degrees Of Freedom

Steidel's extension of Rayleigh's method for calculating the natural vibrational frequencies of mechanical systems with two degrees of freedom provides an elegant method to obtain exact results. In the present article this approach, which perhaps has not been exploited as much as it could be, is first reviewed and then several examples of the procedure are given. An extension of the method to three degrees of freedom is presented, and a natural generalization of Rayleigh's principle is suggested.

Non-linear vibrations in mechanical systems with one or two degrees of freedom

2018 ◽  
Author(s):  
Д.А. Гришко ◽  
◽  
В.В. Лапшин ◽  
Е.С. Студенников ◽  
А.Н. Тарасенко ◽  
...  
Keyword(s):  
Degrees Of Freedom ◽  
Mechanical Systems ◽  
Two Degrees Of Freedom ◽  
Non Linear ◽  
Linear Vibrations

Stable Control of Under-Actuated Mechanical System Acrobot

2014 ◽  
Vol 971-973 ◽  
pp. 727-730
Author(s):  
Min Wu ◽  
Hai Pu
Keyword(s):  
Asymptotic Stability ◽  
Mechanical System ◽  
Degrees Of Freedom ◽  
Mechanical Systems ◽  
Vertical Plane ◽  
Drive System ◽  
Control Input ◽  
Underactuated Mechanical Systems ◽  
Two Degrees Of Freedom ◽  
Stable Control

The mechanical system with one control input and two degrees of freedom is one kind of simple under-drive system, As a typical of two-DOF underactuated mechanical systems , Two-link underactuated mechanical arms is a system scholars always research of.This paper mainly take the two link underactuated mechanical arms-Acrobot which motivate in the vertical plane as object to discusses the asymptotic stability of control

scholarly journals On Structural Patterns of Mechanical Systems with Impacts with One and Two Degrees-of-Freedom

2013 ◽  
Vol 2013 ◽  
pp. 1-22 ◽  
Author(s):  
Barbara Blazejczyk-Okolewska
Keyword(s):  
Degrees Of Freedom ◽  
Matrix Representation ◽  
Mechanical Systems ◽  
Degree Of Freedom ◽  
Two Degrees Of Freedom ◽  
Structural Patterns ◽  
General Method

Structural patterns of mechanical systems with impacts with one degree-of-freedom and two degrees-of-freedom, with elastic connections, have been identified and described. For their identification, a general method proposed by the author has been applied. This method uses (i) a matrix representation of the system with impacts, (ii) procedures that enable generations of all combinations of such systems as well as their identification and elimination of redundant equivalent combinations, and (iii) a procedure for elimination of disconnected systems.

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