DYNAMIC ANALYSIS OF A SPUR GEAR BY THE DYNAMIC STIFFNESS METHOD

2000 ◽  
Vol 234 (2) ◽  
pp. 311-329 ◽  
Author(s):  
K.J. HUANG ◽  
T.S. LIU
Keyword(s):  
Dynamic Analysis ◽  
Dynamic Stiffness ◽  
Spur Gear ◽  
Stiffness Method ◽  
Dynamic Stiffness Method

Dynamic Analysis of Rotating Beams with Nonuniform Cross Sections Using the Dynamic Stiffness Method

2001 ◽  
Vol 123 (4) ◽  
pp. 536-539 ◽  
Author(s):  
K. J. Huang ◽  
T. S. Liu
Keyword(s):  
Dynamic Analysis ◽  
Cross Sections ◽  
Stiffness Matrix ◽  
Dynamic Stiffness ◽  
Equation Of Motion ◽  
The Finite Element Method ◽  
Rotating Beam ◽  
Rotating Beams ◽  
Stiffness Method ◽  
Dynamic Stiffness Method

This study develops dynamic analysis based on the dynamic stiffness method for a rotating beam of nonuniform cross-section. To deal with nonuniform beams, coefficients related to material and geometric properties in the equation of motion are expressed in a polynomial form. A dynamic stiffness matrix is accordingly formulated in terms of power series. The dynamic response of the rotating beam is calculated by performing modal analysis. It is demonstrated that the present method provides an alternative to the finite element method in dealing with nonuniform rotating beams.

scholarly journals Riser Dynamic Analysis Using WKB-Based Dynamic Stiffness Method

2012 ◽  
Author(s):  
Yongming Cheng ◽  
J. Kim Vandiver
Keyword(s):  
Dynamic Analysis ◽  
Natural Frequencies ◽  
Shape Function ◽  
Dynamic Stiffness ◽  
Mode Shapes ◽  
Marine Riser ◽  
Theoretical Formulation ◽  
Eigen Value ◽  
Stiffness Method ◽  
Dynamic Stiffness Method

Risers are fluid conduits from subsea equipment to surface floating production platforms. The integrity of a riser system plays a very important role in deepwater developments. Riser dynamic analysis is an important part to the system design. This paper investigates riser dynamic analysis using the WKB-Based dynamic stiffness method. This paper first presents a theoretical formulation of the dynamic stiffness method. It then combines the dynamic stiffness method with the WKB theory, which assumes that the coefficients in the differential equation of motion are slowly varying. The WKB-based dynamic stiffness method is derived and a frequency dependent shape function is expressed implicitly. The Wittrick and Williams (W-W) algorithm is further extended to solve eigen value problem for a general non-uniform marine riser. Examples of non-uniform riser are analyzed and the results show the efficiency of this method. In addition, a pipe-in-pipe riser system is analyzed for natural frequencies and mode shapes using the WKB-based dynamic stiffness method with the W-W algorithm. The characteristic of the mode shapes is described for such a riser system.

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