Finite element models for use in mechanics including geological engineering
(1998) In Engineering Geology 49(3-4). p.363-369- Abstract
- A number of finite element (FE) models have been developed, starting with a purely magnetic one. The magnetic model was verified against analytical solutions and the commercial FE-programme ANSYS. The magnetic model was then coupled to the wave-equation, resulting in a model governing linear magnetostriction. In the magnetostrictive model a property of two degrees of freedom, that is, displacements, was coupled to a property of one degree of freedom, that is, magnetic potential. To make this possible, non-quadratic coupling matrices had to be developed. This linear model was then verified against analytical solutions, with a good conceptual agreement. In the next step the still linear system of equations was time-propagated, using the... (More)
- A number of finite element (FE) models have been developed, starting with a purely magnetic one. The magnetic model was verified against analytical solutions and the commercial FE-programme ANSYS. The magnetic model was then coupled to the wave-equation, resulting in a model governing linear magnetostriction. In the magnetostrictive model a property of two degrees of freedom, that is, displacements, was coupled to a property of one degree of freedom, that is, magnetic potential. To make this possible, non-quadratic coupling matrices had to be developed. This linear model was then verified against analytical solutions, with a good conceptual agreement. In the next step the still linear system of equations was time-propagated, using the Newmark method. This model was verified by comparing the differential step-response of the system calculated with the time propagation method, to the frequency function of the system, calculated with the harmonic model. Further, non-linear and non-linear transient models were developed and discussed. The non-linear transient model was developed for a situation where a Terfenol rod was assumed to collide periodically with a rigid wall, thus indicating a tool for analysing a Terfenol based resonant system, which could be used, for example, for ultrasonic cutting of hard and brittle materials and also for rock-blasting. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1513083
- author
- Weston, Richard LU and Cedell, Tord LU
- organization
- publishing date
- 1998
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Finite elements, Magnetostriction, Modelling, Non-linearity, Transient modelling
- in
- Engineering Geology
- volume
- 49
- issue
- 3-4
- pages
- 363 - 369
- publisher
- Elsevier
- external identifiers
-
- scopus:0032473736
- ISSN
- 0013-7952
- DOI
- 10.1016/S0013-7952(97)00068-9
- language
- English
- LU publication?
- yes
- id
- 7d53d560-4cd1-4168-bfa7-112a87acf938 (old id 1513083)
- date added to LUP
- 2016-04-01 16:25:47
- date last changed
- 2022-03-22 18:37:39
@article{7d53d560-4cd1-4168-bfa7-112a87acf938,
abstract = {{A number of finite element (FE) models have been developed, starting with a purely magnetic one. The magnetic model was verified against analytical solutions and the commercial FE-programme ANSYS. The magnetic model was then coupled to the wave-equation, resulting in a model governing linear magnetostriction. In the magnetostrictive model a property of two degrees of freedom, that is, displacements, was coupled to a property of one degree of freedom, that is, magnetic potential. To make this possible, non-quadratic coupling matrices had to be developed. This linear model was then verified against analytical solutions, with a good conceptual agreement. In the next step the still linear system of equations was time-propagated, using the Newmark method. This model was verified by comparing the differential step-response of the system calculated with the time propagation method, to the frequency function of the system, calculated with the harmonic model. Further, non-linear and non-linear transient models were developed and discussed. The non-linear transient model was developed for a situation where a Terfenol rod was assumed to collide periodically with a rigid wall, thus indicating a tool for analysing a Terfenol based resonant system, which could be used, for example, for ultrasonic cutting of hard and brittle materials and also for rock-blasting.}},
author = {{Weston, Richard and Cedell, Tord}},
issn = {{0013-7952}},
keywords = {{Finite elements; Magnetostriction; Modelling; Non-linearity; Transient modelling}},
language = {{eng}},
number = {{3-4}},
pages = {{363--369}},
publisher = {{Elsevier}},
series = {{Engineering Geology}},
title = {{Finite element models for use in mechanics including geological engineering}},
url = {{http://dx.doi.org/10.1016/S0013-7952(97)00068-9}},
doi = {{10.1016/S0013-7952(97)00068-9}},
volume = {{49}},
year = {{1998}},
}