Comparison of numerical and semi-analytical dynamic results for inclined beam under moving load

D. S. Yang; Chien Ming Wang

doi:10.1007/978-981-15-8079-6_101

Comparison of numerical and semi-analytical dynamic results for inclined beam under moving load

D. S. Yang, Chien Ming Wang

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

Abstract

This paper compares a numerical method and a semi-analytical method for determining the dynamic responses of a simply supported inclined beam under a moving vertical point load. The numerical method uses the finite element method to discretize the beam. The semi-analytical method makes use of the Fourier series for the vibration mode shape of the inclined beam. For the time domain, both methods involve some numerical time integration schemes to capture the dynamic response of the beam. By comparing the results, both methods furnish similar results. However, the numerical method can be easily applied for complicated multiple moving loads whilst the semi-analytical method provides better insightful information on the dynamic response such as the parameters influencing the exciting frequencies.

Original language	English
Title of host publication	EASEC16 - Proceedings of the 16th East Asian-Pacific Conference on Structural Engineering and Construction, 2019
Editors	Chien Ming Wang, Sritawat Kitipornchai, Vinh Dao
Place of Publication	Singapore Singapore
Publisher	Springer
Pages	1075-1085
Number of pages	11
ISBN (Electronic)	9789811580796
ISBN (Print)	9789811580789
DOIs	https://doi.org/10.1007/978-981-15-8079-6_101
Publication status	Published - 2021
Externally published	Yes
Event	Structural Engineering and Construction Conference 2019 - Brisbane, Australia Duration: 3 Dec 2019 → 6 Dec 2019 Conference number: 16th https://www.springer.com/gp/book/9789811580789 (Proceedings)

Publication series

Name	Lecture Notes in Civil Engineering
Publisher	Springer
Volume	101
ISSN (Print)	2366-2557
ISSN (Electronic)	2366-2565

Conference

Conference	Structural Engineering and Construction Conference 2019
Abbreviated title	EASEC16
Country/Territory	Australia
City	Brisbane
Period	3/12/19 → 6/12/19
Internet address	https://www.springer.com/gp/book/9789811580789 (Proceedings)

Keywords

Dynamic response
Finite element method
Fourier series
Inclined beam
Moving load

Access to Document

10.1007/978-981-15-8079-6_101

Cite this

Yang, D. S., & Wang, C. M. (2021). Comparison of numerical and semi-analytical dynamic results for inclined beam under moving load. In C. M. Wang, S. Kitipornchai, & V. Dao (Eds.), EASEC16 - Proceedings of the 16th East Asian-Pacific Conference on Structural Engineering and Construction, 2019 (pp. 1075-1085). (Lecture Notes in Civil Engineering; Vol. 101). Springer. https://doi.org/10.1007/978-981-15-8079-6_101

Yang, D. S. ; Wang, Chien Ming. / Comparison of numerical and semi-analytical dynamic results for inclined beam under moving load. EASEC16 - Proceedings of the 16th East Asian-Pacific Conference on Structural Engineering and Construction, 2019. editor / Chien Ming Wang ; Sritawat Kitipornchai ; Vinh Dao. Singapore Singapore : Springer, 2021. pp. 1075-1085 (Lecture Notes in Civil Engineering).

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title = "Comparison of numerical and semi-analytical dynamic results for inclined beam under moving load",

abstract = "This paper compares a numerical method and a semi-analytical method for determining the dynamic responses of a simply supported inclined beam under a moving vertical point load. The numerical method uses the finite element method to discretize the beam. The semi-analytical method makes use of the Fourier series for the vibration mode shape of the inclined beam. For the time domain, both methods involve some numerical time integration schemes to capture the dynamic response of the beam. By comparing the results, both methods furnish similar results. However, the numerical method can be easily applied for complicated multiple moving loads whilst the semi-analytical method provides better insightful information on the dynamic response such as the parameters influencing the exciting frequencies.",

keywords = "Dynamic response, Finite element method, Fourier series, Inclined beam, Moving load",

author = "Yang, \{D. S.\} and Wang, \{Chien Ming\}",

note = "Publisher Copyright: {\textcopyright} Springer Nature Singapore Pte Ltd. 2021.; Structural Engineering and Construction Conference 2019, EASEC16 ; Conference date: 03-12-2019 Through 06-12-2019",

year = "2021",

doi = "10.1007/978-981-15-8079-6\_101",

language = "English",

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Yang, DS & Wang, CM 2021, Comparison of numerical and semi-analytical dynamic results for inclined beam under moving load. in CM Wang, S Kitipornchai & V Dao (eds), EASEC16 - Proceedings of the 16th East Asian-Pacific Conference on Structural Engineering and Construction, 2019. Lecture Notes in Civil Engineering, vol. 101, Springer, Singapore Singapore, pp. 1075-1085, Structural Engineering and Construction Conference 2019, Brisbane, Queensland, Australia, 3/12/19. https://doi.org/10.1007/978-981-15-8079-6_101

Comparison of numerical and semi-analytical dynamic results for inclined beam under moving load. / Yang, D. S.; Wang, Chien Ming.
EASEC16 - Proceedings of the 16th East Asian-Pacific Conference on Structural Engineering and Construction, 2019. ed. / Chien Ming Wang; Sritawat Kitipornchai; Vinh Dao. Singapore Singapore: Springer, 2021. p. 1075-1085 (Lecture Notes in Civil Engineering; Vol. 101).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Other

TY - GEN

T1 - Comparison of numerical and semi-analytical dynamic results for inclined beam under moving load

AU - Yang, D. S.

AU - Wang, Chien Ming

N1 - Conference code: 16th

PY - 2021

Y1 - 2021

N2 - This paper compares a numerical method and a semi-analytical method for determining the dynamic responses of a simply supported inclined beam under a moving vertical point load. The numerical method uses the finite element method to discretize the beam. The semi-analytical method makes use of the Fourier series for the vibration mode shape of the inclined beam. For the time domain, both methods involve some numerical time integration schemes to capture the dynamic response of the beam. By comparing the results, both methods furnish similar results. However, the numerical method can be easily applied for complicated multiple moving loads whilst the semi-analytical method provides better insightful information on the dynamic response such as the parameters influencing the exciting frequencies.

AB - This paper compares a numerical method and a semi-analytical method for determining the dynamic responses of a simply supported inclined beam under a moving vertical point load. The numerical method uses the finite element method to discretize the beam. The semi-analytical method makes use of the Fourier series for the vibration mode shape of the inclined beam. For the time domain, both methods involve some numerical time integration schemes to capture the dynamic response of the beam. By comparing the results, both methods furnish similar results. However, the numerical method can be easily applied for complicated multiple moving loads whilst the semi-analytical method provides better insightful information on the dynamic response such as the parameters influencing the exciting frequencies.

KW - Dynamic response

KW - Finite element method

KW - Fourier series

KW - Inclined beam

KW - Moving load

UR - https://www.scopus.com/pages/publications/85104101064

U2 - 10.1007/978-981-15-8079-6_101

DO - 10.1007/978-981-15-8079-6_101

M3 - Conference Paper

AN - SCOPUS:85104101064

SN - 9789811580789

T3 - Lecture Notes in Civil Engineering

SP - 1075

EP - 1085

BT - EASEC16 - Proceedings of the 16th East Asian-Pacific Conference on Structural Engineering and Construction, 2019

A2 - Wang, Chien Ming

A2 - Kitipornchai, Sritawat

A2 - Dao, Vinh

PB - Springer

CY - Singapore Singapore

T2 - Structural Engineering and Construction Conference 2019

Y2 - 3 December 2019 through 6 December 2019

ER -

Yang DS, Wang CM. Comparison of numerical and semi-analytical dynamic results for inclined beam under moving load. In Wang CM, Kitipornchai S, Dao V, editors, EASEC16 - Proceedings of the 16th East Asian-Pacific Conference on Structural Engineering and Construction, 2019. Singapore Singapore: Springer. 2021. p. 1075-1085. (Lecture Notes in Civil Engineering). doi: 10.1007/978-981-15-8079-6_101

Comparison of numerical and semi-analytical dynamic results for inclined beam under moving load

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Keywords

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