Mathematical Models for Rotor Dynamic Analysis

2013 ◽  
pp. 43-75
Author(s):  
Andrew D. Dimarogonas ◽  
Stefanos A. Paipetis ◽  
Thomas G. Chondros
Keyword(s):  
Mathematical Models ◽  
Dynamic Analysis ◽  
Rotor Dynamic

Dynamic Shock Analysis of Shipboard Equipment

1967 ◽  
Vol 4 (04) ◽  
pp. 331-354
Author(s):  
R. L. Harrington ◽  
W. S. Vorus
Keyword(s):  
Mathematical Models ◽  
Dynamic Analysis ◽  
Analysis Method ◽  
Dynamic Analyses ◽  
Shock Resistance ◽  
Computational Procedures

A description and evaluation of the dynamic analysis method of determining the shock resistance of shipboard equipment is given. Development of equipment mathematical models is treated in detail, and the computational procedures used in conducting dynamic analyses are illustrated. Considerations in the preparation of dynamic-analysis reports are discussed. Discussers R. S. Adelizzi G. W. Bishop V. T. Boatwright K. J. Calvin C. Dotson Capt. H. C. Field, Jr., USND. W. Ginter O. Gould D. M. Gray K. Gyswyt R. T. Hawley RADM L. V. Honsinger, USN(Ret.) C. Lee J. C. Lester C. Li W. A. Littlejohn N. J. Monroe A. Morrone B. Novak E. W. Palmer C. G. Puffenburger L. L. Salter H.M. Schauer J. R. Sullivan J. D. Swannack C. Y. Tiao H. H. Ward W. P. Welch J. B. Woodward, III

Kinematic, Static, and Dynamic Analysis of a Spatial Three-Degree-of-Freedom Tensegrity Mechanism

2005 ◽  
Vol 128 (5) ◽  
pp. 1061-1069 ◽  
Author(s):  
Marc Arsenault ◽  
Clément M. Gosselin
Keyword(s):  
Mathematical Models ◽  
Dynamic Analysis ◽  
Degree Of Freedom ◽  
Static And Dynamic Analysis ◽  
Statics And Dynamics ◽  
Potential Alternative ◽  
Three Degree Of Freedom ◽  
Moving Parts

One of the drawbacks of conventional mechanisms is the significant inertia of their moving parts. Tensegrity mechanisms, which have a reduced mass because of their extensive use of cables and springs, represent a potential alternative to these mechanisms for certain types of applications. In this paper a new spatial three-degree-of-freedom tensegrity mechanism is developed and analyzed. Mathematical models of the kinematics, statics, and dynamics of the mechanism are generated. These models reveal several characteristics of the fundamental behavior of tensegrity mechanisms that make them rather unique.

scholarly journals Control Design for Signal Transduction Networks

2009 ◽  
Vol 3 ◽  
pp. BBI.S2116 ◽  
Author(s):  
Chun-Liang Lin ◽  
Yuan-Wei Liu ◽  
Chia-Hua Chuang
Keyword(s):  
Signal Transduction ◽  
Mathematical Models ◽  
Dynamic Analysis ◽  
Control Strategy ◽  
Controller Design ◽  
Control Design ◽  
Effective Control ◽  
Analysis Model ◽  
Signal Transduction Networks ◽  
Design Idea

Signal transduction networks of biological systems are highly complex. How to mathematically describe a signal transduction network by systematic approaches to further develop an appropriate and effective control strategy is attractive to control engineers. In this paper, the synergism and saturation system (S-systems) representations are used to describe signal transduction networks and a control design idea is presented. For constructing mathematical models, a cascaded analysis model is first proposed. Dynamic analysis and controller design are simulated and verified.

Modelling and Analysis of Dynamic Properties of Drive Systems With Gears

1999 ◽  
Author(s):  
Ctirad Kratochvíl ◽  
Vladimír Kotek ◽  
Tomáš Březina ◽  
Jiří Krejsa
Keyword(s):  
Mathematical Models ◽  
Dynamic Analysis ◽  
Dynamic Properties ◽  
Structural Complexity ◽  
Design Stage ◽  
Drive Systems ◽  
Marked Tendency

Abstract Contemporary trends show a marked tendency for solution of problems of dynamic analysis of drive systems as early as the design stage. It shows that during the modelling of complex drive systems it is necessary to respect its structural complexity and therefore it is necessary to make the models of particular drive subsystems first and then to combine it altogether. In the paper authors present some methods of creation of suitable mathematical models of complex drive systems respecting the drive structure. The methods are then applied onto real tasks. Examples are included.

An Evaluation of Mode Tracking Methods for Practical Rotor Dynamic Analysis

2020 ◽  
Author(s):  
Anurag Rajagopal ◽  
Dilip K. Mandal
Keyword(s):  
Dynamic Analysis ◽  
Rotating Machinery ◽  
Mode Shapes ◽  
Test Cases ◽  
Dynamic Simulations ◽  
Campbell Diagram ◽  
Practical Applications ◽  
Rotor Dynamic ◽  
Mode Tracking ◽  
Theoretical Foundations

Abstract An important precursor to the dynamic analysis of rotating machinery, in either frequency or time domain, is the extraction of its mode shapes and corresponding frequencies. This is often presented as a Campbell diagram, which plots the frequency of each mode as a function of the rotor speed. A typical Campbell diagram has several backward whirl, linear and forward whirl modes leading to numerous intersections. Therefore augmenting the eigenvalue solution with a mode tracking algorithm to output the Campbell diagram is of essential interest to a practicing engineer. This paper presents an evaluation of several mode tracking approaches for rotor dynamic simulations, starting from their theoretical foundations to practical applications using several test cases. These tracking algorithms are implemented in the structural solver, OptiStruct, part of Altair Engineering’s CAE framework. Finally, the conclusions drawn from this exercise offer engineers studying rotating machinery several key insights.

Passive Suspension of a Working Machine Horizontal Platform

2014 ◽  
Vol 611 ◽  
pp. 3-9 ◽  
Author(s):  
Martin Orečný ◽  
Štefan Segla
Keyword(s):  
Mathematical Models ◽  
Dynamic Analysis ◽  
Numerical Simulations ◽  
Experimental Measurement ◽  
Angular Acceleration ◽  
Vertical Axis ◽  
Horizontal Plate ◽  
Passive Suspension ◽  
Kinematic Excitation ◽  
The Individual

The paper deals with a dynamic analysis of a passive suspension of a working machine horizontal platform and the two configurations of its suspension system. For the individual alternatives the mathematical models are formulated. The rigid horizontal platform is excited in two perpendicular horizontal directions by kinematic excitation, which was acquired by an experimental measurement of the displacements of the working machine cabin. For the arbitration of which configuration is better two criterions were considered. The first criterion was the effective displacement in two perpendicular directions of the suspended horizontal plate and its rotation around the vertical axis. The second criterion was the effective acceleration of the horizontal plate in two perpendicular directions and the angular acceleration around the vertical axis. The numerical simulations shown that the first alternative (marked as A) gives better results in the reduction of vibration.

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