Wave motion in a thick cylindrical rod undergoing longitudinal impact

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43929009" target="_blank" >RIV/49777513:23520/16:43929009 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/61388998:_____/16:00462378

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.wavemoti.2016.05.007" target="_blank" >http://dx.doi.org/10.1016/j.wavemoti.2016.05.007</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.wavemoti.2016.05.007" target="_blank" >10.1016/j.wavemoti.2016.05.007</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Wave motion in a thick cylindrical rod undergoing longitudinal impact

Popis výsledku v původním jazyce

The paper presents a new formulation and the comprehensive analytical solution to longitudinal impact of thick elastic rods. In contrast to previously published works, the solution is derived based on the exact three-dimensional theory without using the classic Skalak's decomposition. This new direct approach makes the analytical solution more transparent and much easier to obtain. The resulting formulas for basic mechanical quantities are derived using the residue theorem and their evaluation is made in such a way that the accuracy of presented results is significantly higher than those previously published. Based on these results, the transient wave phenomena occurring in the rods are discussed in detail. Additionally, the solution in time domain is obtained also by semianalytical approach making use of numerical inverse Laplace transform. It is shown that the selected FFT based algorithm is accurate and robust enough, such that the analysis of wave motion in spatial and time domain can be done effectively preserving the results precision. Presented solution can be used as a benchmark for verification of numerical and experimental methods applied to elastodynamics problems.

Název v anglickém jazyce

Wave motion in a thick cylindrical rod undergoing longitudinal impact

Popis výsledku anglicky

The paper presents a new formulation and the comprehensive analytical solution to longitudinal impact of thick elastic rods. In contrast to previously published works, the solution is derived based on the exact three-dimensional theory without using the classic Skalak's decomposition. This new direct approach makes the analytical solution more transparent and much easier to obtain. The resulting formulas for basic mechanical quantities are derived using the residue theorem and their evaluation is made in such a way that the accuracy of presented results is significantly higher than those previously published. Based on these results, the transient wave phenomena occurring in the rods are discussed in detail. Additionally, the solution in time domain is obtained also by semianalytical approach making use of numerical inverse Laplace transform. It is shown that the selected FFT based algorithm is accurate and robust enough, such that the analysis of wave motion in spatial and time domain can be done effectively preserving the results precision. Presented solution can be used as a benchmark for verification of numerical and experimental methods applied to elastodynamics problems.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BI - Akustika a kmity

OECD FORD obor

—

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

WAVE MOTION

ISSN

0165-2125

e-ISSN

—

Svazek periodika

66

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

18

Strana od-do

88-105

Kód UT WoS článku

000381532700008

EID výsledku v databázi Scopus

2-s2.0-84974625436