Layered piezoelectric resonators with an arbitrary number of electrodes (general one‐dimensional treatment)

1991 ◽  
Vol 90 (3) ◽  
pp. 1238-1245 ◽  
Author(s):  
Helmut Nowotny ◽  
Ewald Benes ◽  
Michael Schmid
Keyword(s):  
Arbitrary Number ◽  
One Dimensional ◽  
Piezoelectric Resonators

Numerical Algorithms for Simulation of One-Dimensional Mechanical Systems With Clearance-Type Nonlinearities

2019 ◽  
Vol 14 (6) ◽  
Author(s):  
Lina Wramner
Keyword(s):  
Arbitrary Number ◽  
Mechanical Systems ◽  
Numerical Algorithms ◽  
Gear Ratio ◽  
One Dimensional ◽  
Linear Complementary Problem

In many mechanical systems there are nonlinearities of clearance type. This type of nonlinearity often causes problems with convergence and accuracy in simulations, due to the discontinuities at impact. For systems with gap-activated springs connected to ground, it has been proposed in previous work to reformulate the problem as a linear complementary problem (LCP), which can be solved in a very efficient way. In this paper, a generalization of the LCP approach is proposed for systems with gap-activated springs connecting different bodies. The generalizations enable the LCP approach to be used for an arbitrary number of gap-activated springs connecting either different bodies or connecting bodies to ground. The springs can be activated in either compression or expansion or both and a gear ratio can be included between the bodies. The efficiency of the algorithm is demonstrated with an application example of a dual mass flywheel (DMF).

Pure Discrete Spectrum for One-dimensional Substitution Systems of Pisot Type

2002 ◽  
Vol 45 (4) ◽  
pp. 697-710 ◽  
Author(s):  
V. F. Sirvent ◽  
B. Solomyak
Keyword(s):  
Dynamical System ◽  
Dynamical Systems ◽  
Discrete Spectrum ◽  
Sequence Space ◽  
Arbitrary Number ◽  
The Other ◽  
Suspension Flow ◽  
Partial Result ◽  
One Dimensional ◽  
Symbol Substitution

AbstractWe consider two dynamical systems associated with a substitution of Pisot type: the usual -action on a sequence space, and the -action, which can be defined as a tiling dynamical system or as a suspension flow. We describe procedures for checking when these systems have pure discrete spectrum (the “balanced pairs algorithm” and the “overlap algorithm”) and study the relation between them. In particular, we show that pure discrete spectrum for the -action implies pure discrete spectrum for the -action, and obtain a partial result in the other direction. As a corollary, we prove pure discrete spectrum for every -action associated with a two-symbol substitution of Pisot type (this is conjectured for an arbitrary number of symbols).

scholarly journals Average temperature of oil-filled transformer windings with partial cooling ducts

2021 ◽  
Vol 72 (1) ◽  
pp. 35-39
Author(s):  
Peter Bokes
Keyword(s):  
Exact Solution ◽  
Analytical Solution ◽  
Temperature Rise ◽  
Arbitrary Number ◽  
Low Voltage ◽  
Dimensional Model ◽  
Distribution Transformer ◽  
One Dimensional ◽  
Average Temperature ◽  
Cooling Ducts

Abstract An effective one-dimensional model is presented that describes the temperature profile of a winding of an oil-filled distribution transformer with an arbitrary number of partial cooling ducts. An analytical solution of the model is applied to a specific example — a low voltage winding of a 400 kVA distribution transformer with one or two partial cooling ducts. Starting from the exact solution, a simple and practical formula for the temperature rise of similar windings has been derived that is suitable for transformer designers.

DERIVING ENERGY-LEVEL GAP FOR AN ARBITRARY NUMBER OF COUPLED IDENTICAL OSCILLATORS BY VIRTUE OF THE INVARIANT EIGEN-OPERATOR METHOD

2006 ◽  
Vol 21 (05) ◽  
pp. 451-456 ◽  
Author(s):  
TONG-QIANG SONG ◽  
HONG-YI FAN
Keyword(s):  
Energy Level ◽  
Arbitrary Number ◽  
Coupled Oscillators ◽  
Operator Method ◽  
One Dimensional

By virtue of the invariant eigen-operator method, we obtain the energy-level gap for an arbitrary number of identical one-dimensional, harmonically coupled oscillators.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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