Dynamic Response of Beams With Lumped Parameters

The dynamic response of two lumped-parameter models for an elastic beam is considered. It is shown that, as compared to the beam with continuous properties, the model of lumped flexibility yields response that is too high, and the model of lumped mass yields response that is too low.

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Dynamic response of vehicle–bridge–soil system using lumped-parameter models for structure–soil interaction

Computers & Structures ◽

10.1016/j.compstruc.2020.106270 ◽

2020 ◽

Vol 238 ◽

pp. 106270 ◽

Cited By ~ 1

Author(s):

Paulius Bucinskas ◽

Lars Vabbersgaard Andersen

Keyword(s):

Dynamic Response ◽

Soil System ◽

Lumped Parameter ◽

Lumped Parameter Models

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A hybrid model to study the effect of tooth lead modifications on the dynamic behavior of double helical planetary gears

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406219846156 ◽

2019 ◽

Vol 233 (21-22) ◽

pp. 7224-7235

Author(s):

Stéphane Portron ◽

Philippe Velex ◽

Vincent Abousleiman

Keyword(s):

Dynamic Behavior ◽

Hybrid Model ◽

Load Distribution ◽

Element Model ◽

Ring Gear ◽

Planetary Gears ◽

Lumped Parameter ◽

Lumped Parameter Models ◽

Lumped Parameters ◽

Planet Carrier

In this paper, a hybrid model is used to investigate the dynamic behavior of planetary gears. Sun-gear, planets, and ring-gear are modeled using lumped parameters elements, while planet carrier is integrated via a condensed finite element model. This approach intends to be more precise than the traditional lumped parameter models while keeping acceptable computational times. In some aeronautical applications, tooth lead modifications can be necessary to counterbalance the effect of planet carrier deflections on tooth load distribution. This study focuses on the influence of various lead modifications on the dynamic behavior of double helical planetary gears over a broad range of loads.

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Inferring transit time distributions from atmospheric tracer data: Assessment of the predictive capacities of Lumped Parameter Models on a 3D crystalline aquifer model

Journal of Hydrology ◽

10.1016/j.jhydrol.2015.03.055 ◽

2015 ◽

Vol 525 ◽

pp. 619-631 ◽

Cited By ~ 17

Author(s):

J. Marçais ◽

J.-R. de Dreuzy ◽

T.R. Ginn ◽

P. Rousseau-Gueutin ◽

S. Leray

Keyword(s):

Transit Time ◽

Lumped Parameter ◽

Lumped Parameter Models ◽

Crystalline Aquifer ◽

Data Assessment ◽

Atmospheric Tracer

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Lumped parameter models for two-ventricle and healthy and failing extracardiac Fontan circulations

Mathematical Medicine and Biology A Journal of the IMA ◽

10.1093/imammb/dqab012 ◽

2021 ◽

Author(s):

Matthew G Doyle ◽

Marina Chugunova ◽

S Lucy Roche ◽

James P Keener

Keyword(s):

Single Ventricle ◽

Left Ventricular ◽

Sensitivity Analyses ◽

Surgical Strategies ◽

Lumped Parameter ◽

Lumped Parameter Models ◽

Fontan Failure ◽

Existence Of Periodic Solutions ◽

Mathematical Definitions ◽

Extracardiac Fontan

Abstract Fontan circulations are surgical strategies to treat infants born with single ventricle physiology. Clinical and mathematical definitions of Fontan failure are lacking, and understanding is needed of parameters indicative of declining physiologies. Our objective is to develop lumped parameter models of two-ventricle and single-ventricle circulations. These models, their mathematical formulations and a proof of existence of periodic solutions are presented. Sensitivity analyses are performed to identify key parameters. Systemic venous and systolic left ventricular compliances and systemic capillary and pulmonary venous resistances are identified as key parameters. Our models serve as a framework to study the differences between two-ventricle and single-ventricle physiologies and healthy and failing Fontan circulations.

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