Lateral Vibration Analysis of a Nonuniform Beam by Ritz's Method

2007 ◽  
Vol 17 (10) ◽  
pp. 946-949
Keyword(s):  
Vibration Analysis ◽  
Lateral Vibration ◽  
Ritz’S Method ◽  
Nonuniform Beam

Modal synthesis method of lateral vibration analysis for rotor-bearing system

2002 ◽  
Vol 80 (32) ◽  
pp. 2537-2549 ◽  
Author(s):  
Chun-Ping Zou ◽  
Hong-Xing Hua ◽  
Duan-Shi Chen
Keyword(s):  
Vibration Analysis ◽  
Synthesis Method ◽  
Lateral Vibration ◽  
Modal Synthesis ◽  
Rotor Bearing ◽  
Bearing System

scholarly journals Lateral vibration analysis of monatomic chains considering atomic longitudinal displacement

2019 ◽  
Vol 38 (2) ◽  
pp. 457-472
Author(s):  
Canchang Liu ◽  
Chicheng Ma ◽  
Zhichang Qin ◽  
Changcheng Zhou
Keyword(s):  
Transverse Vibration ◽  
Vibration Analysis ◽  
Nanoelectromechanical Systems ◽  
Lateral Vibration ◽  
Atomic Chain ◽  
Longitudinal Displacement ◽  
Resonant Frequencies ◽  
String Vibration ◽  
Axial Tension ◽  
Monatomic Chain

The lateral vibration of monatomic chains considering atomic longitudinal displacements is studied by using the string vibration theory. The modes of lateral vibration of monatomic chains are assumed as the modes of string vibration. Based on the string assumption, the equation of string vibration for monatomic chains is established. Coordinates of the vibration atoms can be calculated by utilizing boundary conditions and symmetry conditions of monatomic chains. The natural angular frequencies of transverse vibration of monatomic chains are calculated by the string vibration method. The tension of the quantum limitation is given and the value of limitation can be used to distinguish nanoelectromechanical systems from quantum-electromechanical Systems. Natural angular frequencies and resonant frequencies of the monatomic chain string are associated with the axial tension acting on the string and the length of monatomic chains, and they can be altered by changing the length of the string and the axial tension acting on the string. The nonlinear vibration of single atomic chain can be analyzed using the improved Lindstedt–Poincaré multiscale method. The study found that the stiffness of the carbon monatomic chain can be altered by changing the length of the string and the tension acting on the string.

Vibration and Stress Analysis for Condition Monitoring of Symon Cone Crushers

1990 ◽  
Vol 112 (2) ◽  
pp. 268-273 ◽  
Author(s):  
Andre Szczepanik ◽  
Ian Roy ◽  
B. T. Kuhnell
Keyword(s):  
Stress Analysis ◽  
Condition Monitoring ◽  
Vibration Analysis ◽  
Lateral Vibration ◽  
Ring Gear ◽  
Safe Operation ◽  
Eccentric Ring

Condition-Monitoring of the crusher frames, using stress and vibration analysis, is described. It is shown that the meshing clearances between the countershaft pinion and the eccentric ring gear are critical to safe operation. It also is shown that shock stresses occur for very small close-side settings and these stresses are caused by lateral vibration of the relief springs.

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