Transient response of general one-dimensional distributed systems through eigenfunction expansion with an implicit filter scheme

2015 ◽  
Vol 39 (9) ◽  
pp. 2470-2488 ◽  
Author(s):  
Carlos Frederico T. Matt
Keyword(s):  
Distributed Systems ◽  
Transient Response ◽  
Eigenfunction Expansion ◽  
One Dimensional

System Properties of One-Dimensional Distributed Systems

1977 ◽  
Vol 99 (2) ◽  
pp. 85-90 ◽  
Author(s):  
L. S. Bonderson
Keyword(s):  
Distributed Systems ◽  
Sufficient Conditions ◽  
State Variables ◽  
One Dimensional ◽  
First Order ◽  
Lumped Element ◽  
Order Form ◽  
Power Product ◽  
System Properties ◽  
Necessary And Sufficient

The system properties of passivity, losslessness, and reciprocity are defined and their necessary and sufficient conditions are derived for a class of linear one-dimensional multipower distributed systems. The utilization of power product pairs as state variables and the representation of the dynamics in first-order form allows results completely analogous to those for lumped-element systems.

scholarly journals Transient Solutions for One-Dimensional Problems With Strain Softening

1987 ◽  
Vol 54 (3) ◽  
pp. 513-518 ◽  
Author(s):  
T. Belytschko ◽  
Xiao-Jun Wang ◽  
Z. P. Bazant ◽  
Y. Hyun
Keyword(s):  
Strain Rate ◽  
Closed Form ◽  
Transient Response ◽  
Softening Point ◽  
Strain Softening ◽  
Stress Strain ◽  
One Dimensional ◽  
Closed Form Solutions ◽  
Transient Solutions

Closed-form solutions are presented for the transient response of rods in which strain softening occurs and the stress-strain laws exhibit nonvanishing stresses after the strain-softening regime. It is found that the appearance of any strain softening results in an infinite strain rate if the material is inviscid. For a stress-strain law with a monotonically decreasing stress the strains are infinite also. If the stress increases after the strain-softening portion, the strains remain finite and the strain-softening point moves through the rod.

Vector Bond Graphs Applied to One-Dimensional Distributed Systems

1975 ◽  
Vol 97 (1) ◽  
pp. 75-82 ◽  
Author(s):  
L. S. Bonderson
Keyword(s):  
Distributed Systems ◽  
Bond Graph ◽  
Bond Graphs ◽  
One Dimensional ◽  
Lumped Models ◽  
Multiple Power

Vector bond graph notation and conventions are presented which simplify the task of representing the multiple power bonds, transformations and junction structures of multiport systems. These ideas are shown to be particularly convenient in the reticulation of represntative microelements for a class of one-dimensional multipower distributed systems. The microelements are an aid in understanding the dynamics of distributed systems and may be used to construct approximate lumped models.

Electrodeposition and characterization of one-dimensional CuInSe2 nanostructures in mesoporous silicon templates

2016 ◽  
Vol 3 (1) ◽  
Author(s):  
S. De La Luz-Merino ◽  
M. E. Calixto ◽  
A. Méndez-Blas ◽  
B. Marí-Soucase
Keyword(s):  
Raman Spectroscopy ◽  
Porous Silicon ◽  
Physical Properties ◽  
Transient Response ◽  
Current Transient ◽  
Specific Substrate ◽  
Filling Process ◽  
Mesoporous Silicon ◽  
One Dimensional

AbstractIn this work, the electrodeposition and characterization of 1D CuInSe2 (CIS) nanostructures formed by the assistance of porous silicon (PSi) templates is presented. The formation of CIS was found to be potential dependent on the specific substrate being used. The filling process of the pores of PSi template was studied directly by the current transient response during electrodeposition of nanostructured CIS and results were compared with FESEM images. CIS nanostructures were fully characterized by using FE-SEM, FIB, XRD, and Raman spectroscopy, in order to know their physical properties.

Transient response of an erodable heat flux gauge using finite element analysis

2002 ◽  
Vol 216 (8) ◽  
pp. 701-706 ◽  
Author(s):  
D R Buttsworth
Keyword(s):  
Heat Flux ◽  
Finite Element ◽  
Surface Temperature ◽  
Transient Response ◽  
Transient Heat Conduction ◽  
Two Dimensional ◽  
Element Analysis ◽  
Ic Engine ◽  
One Dimensional ◽  
Transient Heat Flux

The transient response of an erodable ribbon element heat flux gauge has been assessed using a two-dimensional finite element (FE) analysis. Such transient heat flux gauges have previously been used for measurements in internal combustion (IC) engines. To identify the heat flux from the measurements of surface temperature, it is commonly assumed that the heat transfer within these devices is one-dimensional. A corollary of the one-dimensional treatment is that only one value of the thermal product, , is needed for identification of the transient heat flux, even though erodable heat flux gauges are constructed from at least two different materials. The current results demonstrate that two-dimensional transient heat conduction effects have a significant influence on the surface temperature measurements made with these devices. For the ribbon element gauge and timescales of interest in IC engine studies, using a one-dimensional analysis (and hence a single value of ) will lead to substantial inaccuracy in the derived heat flux measurements.

Phase-slip dynamics in one-dimensional distributed systems

1992 ◽  
Vol 45 (6) ◽  
pp. 4175-4177 ◽  
Author(s):  
Michael I. Tribelsky ◽  
Shoichi Kai ◽  
Hideki Yamazaki
Keyword(s):  
Distributed Systems ◽  
Phase Slip ◽  
One Dimensional

Closed-Form Transient Response of Distributed Damped Systems, Part I: Modal Analysis and Green’s Function Formula

1996 ◽  
Vol 63 (4) ◽  
pp. 997-1003 ◽  
Author(s):  
Bingen Yang
Keyword(s):  
Green’S Function ◽  
Modal Analysis ◽  
Closed Form ◽  
Distributed System ◽  
Transient Response ◽  
Green's Function ◽  
Eigenfunction Expansion ◽  
Distributed Parameter ◽  
Modal Expansion ◽  
Damped Systems

An analytical method is developed for closed-form estimation of the transient response of complex distributed parameter systems that are nonproportionally damped, and subject to arbitrary external, initial, and boundary excitations. A new modal analysis leads to the Green’s function formula for the distributed system and an eigenfunction expansion of the system Green’s function. The legitimacy of the modal expansion is also shown.

Transient Response of Coated Submersible Hull to Deep Underwater Explosion

2016 ◽  
Author(s):  
Caiyu Yin ◽  
Zeyu Jin ◽  
Yong Chen ◽  
Hongxing Hua
Keyword(s):  
Transient Response ◽  
Underwater Explosion ◽  
The Finite Element Method ◽  
Acceleration Response ◽  
One Dimensional ◽  
Combined Loads ◽  
Shock Mitigation ◽  
Deformation Velocity ◽  
Underwater Shock ◽  
Shock Resistance

Underwater explosion (UNDEX) can severely damage warships and submarines, so improving shock resistance ability of such weapons is of great importance. However, studies on enhancing shock resistance ability of submerged structures are limited. In this paper, the shock mitigation effects of cellular cladding coated on the submersible hull subjected to combined loads of hydrostatic pressure and shock wave are analyzed. First, one-dimensional analytical model is proposed to reveal the shock mitigation mechanism of cellular claddings. The pressure at fluid-structure interface and the thickness of cellular foam needed to fully dissipate shock energy are obtained. Then, the finite element method is employed to investigate the transient response of bare/coated submersible hull subjected to UNDEX. The results indicate that the cellular cladding coated on the pressure hull is very effective on reducing hull deformation, velocity and acceleration response if the cladding is not fully densified. Otherwise, the stress enhancement appears when the cladding is fully densified prematurely, which will weaken the shock mitigation effects. The research results are useful in designing surface shields for submersible hull so as to enhance its resistance to underwater shock damage.

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