Development and Verification of Transfer Matrix Unbalance Response Procedure for Three-Level Rotor-Foundation Systems

1998 ◽  
Vol 120 (1) ◽  
pp. 240-251 ◽  
Author(s):  
N. F. Rieger ◽  
Shixiang Zhou
Keyword(s):  
Transfer Matrix ◽  
Transfer Matrix Method ◽  
System Analysis ◽  
Computer Code ◽  
Level System ◽  
Matrix Methods ◽  
Stiffness Properties ◽  
Multi Level ◽  
Foundation Structure ◽  
Rotor Model

Details are presented of an analysis and computer code for the calculation of complex multi-span rotor-bearing-pedestal-foundation systems. This multi-level system analysis is based on the Prohl-Myklestad transfer matrix method. The rotor model used is similar to that given by Lund and Orcutt [1]. Eight-coefficient bearings are also used, to permit elliptical orbit rotor motions. The bearings are mounted in massive, damped flexible pedestals, which are themselves mounted upon a foundation structure with distributed mass and stiffness properties. The foundation in turn, is supported on a number of flexible-damped supports. Different foundation properties in the horizontal and vertical directions are included. The analysis is described in detail, along with the computer code, and the results obtained with it are compared with data published previously by other investigators. It is shown that transfer matrix methods can be successfully used for multi-level systems, and that the additional computational ejfort involved is moderate. Three applications of the code are described which validate various aspects of the analysis and the computer program.

Extension of the Transfer Matrix Method for Rotordynamic Analysis to Include a Direct Representation of Conical Sections and Trunnions

1980 ◽  
Vol 102 (1) ◽  
pp. 122-129 ◽  
Author(s):  
M. S. Darlow ◽  
B. T. Murphy ◽  
J. A. Elder ◽  
G. N. Sandor
Keyword(s):  
Transfer Matrix ◽  
Cross Sections ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Critical Speed ◽  
Axial Direction ◽  
Matrix Analysis ◽  
Beam Elements ◽  
Conical Section ◽  
Rotor Model

The transfer matrix method for rotordynamic analysis (alternately known as the HMP or LMP method) has enjoyed wide popularity due to its flexibility and ease of application. A number of computer programs are generally available which use this method in various forms to perform undamped critical speed, unbalance response, damped critical speed and stability analyses. For all of these analyses, the assembly of the transfer matrices from the rotor model is essentially the same. In all cases, the rotor model must be composed entirely of cylindrical beam elements. There are two situations when this limitation is not desirable. The first situation is when the rotor being modelled has one or more sections whose cross sections vary continually in the axial direction. The most common of these sections is the conical section. Presently, a conical section must be modelled as a series of “steps” of cylindrical sections. This adversely affects both the simplicity and accuracy of the rotor model. The second situation when current transfer matrix techniques are not accurate is when the rotor being modelled has one or more sections that do not behave as beam elements. The most common example is a trunnion which behaves as a plate. This paper describes the analytical basis and the method of application for direct representation of conical sections and trunnions for a transfer matrix analysis. Analytical results are currently being generated to demonstrate the need for and advantages of these modelling procedures.

Piezoelectric transducer analysis using the transfer matrix method and a new versatile computer code

1988 ◽  
Vol 84 (S1) ◽  
pp. S102-S102
Author(s):  
Pascal Tierce ◽  
Koffi Anifrani ◽  
Jean Noel Decarpigny ◽  
B. Hamonic
Keyword(s):  
Transfer Matrix ◽  
Piezoelectric Transducer ◽  
Transfer Matrix Method ◽  
Matrix Method ◽  
Computer Code

The ECtHR, transregional dialogues and global constitutionalism

2020 ◽  
Vol 9 (3) ◽  
pp. 543-551
Author(s):  
WAYNE SANDHOLTZ
Keyword(s):  
Human Rights ◽  
Legal Order ◽  
Level System ◽  
Global Order ◽  
European Court ◽  
Human Rights Treaties ◽  
Global Constitutionalism ◽  
Multi Level ◽  
Global Law ◽  
Decentralized Mechanism

AbstractIn A Cosmopolitan Legal Order, Stone Sweet and Ryan suggest that ‘from the standpoint of global law, we see that the [European Court of Human Rights] has taken its place in a pluralist, rights-based international order, as one trustee of this global order’. This article is a preliminary attempt to evaluate signs of movement toward global rights review. A multi-level charter of rights exists in the network of international and regional human rights treaties and in national constitutions. An incipient structure of global rights review exists in the form of the regional human rights courts, which see themselves as trustees of the larger global human rights system. Judicial dialogue among the regional courts allows for informal, decentralized coordination among them. The European Court of Human Rights serves as a point of reference for the African and Inter-American systems, though these also cite each other. Transregional judicial dialogue establishes a rudimentary, informal and decentralized mechanism of coordination among bodies that exercise a review function in the multi-level system of international human rights.

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