A Novel Dynamic Model of the Straight Beam Using the Rigid Body Element Method

Dong Wang; Hongrui Cao; Chao Yin; Kaikai Liu

doi:10.1007/978-981-99-8048-2_32

A Novel Dynamic Model of the Straight Beam Using the Rigid Body Element Method

Dong Wang
, Hongrui Cao
, Chao Yin
, Kaikai Liu

School of Mechanical Engineering

Xi'an Jiaotong University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

In this paper, a novel dynamic model of the straight beam is proposed based on the rigid body element (RBE) method. Firstly, the beam is divided into a set of rigid body elements (RBEs), and two adjacent elements are contacted by an elastic joint (EJ), which is modeled through six imaginary springs. Secondly, the stiffness of an elastic joint (EJ) is calculated using cross-section parameters between two adjacent elements, and interaction forces and moments can be obtained. Then, equations of motions of each rigid body element (RBE) are given based on Newton–Euler equations. Finally, vibration is obtained through the fourth-order Runge–Kutta–Fehlberg method with a step-changing criterion, and the proposed model is verified by the finite element model (FEM).

Original language	English
Title of host publication	Proceedings of the 2nd International Conference on Mechanical System Dynamics - ICMSD 2023
Editors	Xiaoting Rui, Caishan Liu
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	509-518
Number of pages	10
ISBN (Print)	9789819980475
DOIs	https://doi.org/10.1007/978-981-99-8048-2_32
State	Published - 2024
Event	2nd International Conference of Mechanical System Dynamics, ICMSD 2023 - Beijing, China Duration: 1 Sep 2023 → 5 Sep 2023

Publication series

Name	Lecture Notes in Mechanical Engineering
ISSN (Print)	2195-4356
ISSN (Electronic)	2195-4364

Conference

Conference	2nd International Conference of Mechanical System Dynamics, ICMSD 2023
Country/Territory	China
City	Beijing
Period	1/09/23 → 5/09/23

Keywords

Dynamic modeling
Elastic joint (EJ)
Newton–Euler equation
Rigid body element (RBE)
Straight beam

Access to Document

10.1007/978-981-99-8048-2_32

Cite this

Wang, D., Cao, H., Yin, C., & Liu, K. (2024). A Novel Dynamic Model of the Straight Beam Using the Rigid Body Element Method. In X. Rui, & C. Liu (Eds.), Proceedings of the 2nd International Conference on Mechanical System Dynamics - ICMSD 2023 (pp. 509-518). (Lecture Notes in Mechanical Engineering). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-981-99-8048-2_32

Wang, Dong ; Cao, Hongrui ; Yin, Chao et al. / A Novel Dynamic Model of the Straight Beam Using the Rigid Body Element Method. Proceedings of the 2nd International Conference on Mechanical System Dynamics - ICMSD 2023. editor / Xiaoting Rui ; Caishan Liu. Springer Science and Business Media Deutschland GmbH, 2024. pp. 509-518 (Lecture Notes in Mechanical Engineering).

@inproceedings{323f886a642a4480bc5b164fe75cc99f,

title = "A Novel Dynamic Model of the Straight Beam Using the Rigid Body Element Method",

abstract = "In this paper, a novel dynamic model of the straight beam is proposed based on the rigid body element (RBE) method. Firstly, the beam is divided into a set of rigid body elements (RBEs), and two adjacent elements are contacted by an elastic joint (EJ), which is modeled through six imaginary springs. Secondly, the stiffness of an elastic joint (EJ) is calculated using cross-section parameters between two adjacent elements, and interaction forces and moments can be obtained. Then, equations of motions of each rigid body element (RBE) are given based on Newton–Euler equations. Finally, vibration is obtained through the fourth-order Runge–Kutta–Fehlberg method with a step-changing criterion, and the proposed model is verified by the finite element model (FEM).",

keywords = "Dynamic modeling, Elastic joint (EJ), Newton–Euler equation, Rigid body element (RBE), Straight beam",

author = "Dong Wang and Hongrui Cao and Chao Yin and Kaikai Liu",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.; 2nd International Conference of Mechanical System Dynamics, ICMSD 2023 ; Conference date: 01-09-2023 Through 05-09-2023",

year = "2024",

doi = "10.1007/978-981-99-8048-2\_32",

language = "英语",

isbn = "9789819980475",

series = "Lecture Notes in Mechanical Engineering",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "509--518",

editor = "Xiaoting Rui and Caishan Liu",

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Wang, D, Cao, H, Yin, C & Liu, K 2024, A Novel Dynamic Model of the Straight Beam Using the Rigid Body Element Method. in X Rui & C Liu (eds), Proceedings of the 2nd International Conference on Mechanical System Dynamics - ICMSD 2023. Lecture Notes in Mechanical Engineering, Springer Science and Business Media Deutschland GmbH, pp. 509-518, 2nd International Conference of Mechanical System Dynamics, ICMSD 2023, Beijing, China, 1/09/23. https://doi.org/10.1007/978-981-99-8048-2_32

A Novel Dynamic Model of the Straight Beam Using the Rigid Body Element Method. / Wang, Dong; Cao, Hongrui; Yin, Chao et al.
Proceedings of the 2nd International Conference on Mechanical System Dynamics - ICMSD 2023. ed. / Xiaoting Rui; Caishan Liu. Springer Science and Business Media Deutschland GmbH, 2024. p. 509-518 (Lecture Notes in Mechanical Engineering).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A Novel Dynamic Model of the Straight Beam Using the Rigid Body Element Method

AU - Wang, Dong

AU - Cao, Hongrui

AU - Yin, Chao

AU - Liu, Kaikai

N1 - Publisher Copyright: © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.

PY - 2024

Y1 - 2024

N2 - In this paper, a novel dynamic model of the straight beam is proposed based on the rigid body element (RBE) method. Firstly, the beam is divided into a set of rigid body elements (RBEs), and two adjacent elements are contacted by an elastic joint (EJ), which is modeled through six imaginary springs. Secondly, the stiffness of an elastic joint (EJ) is calculated using cross-section parameters between two adjacent elements, and interaction forces and moments can be obtained. Then, equations of motions of each rigid body element (RBE) are given based on Newton–Euler equations. Finally, vibration is obtained through the fourth-order Runge–Kutta–Fehlberg method with a step-changing criterion, and the proposed model is verified by the finite element model (FEM).

AB - In this paper, a novel dynamic model of the straight beam is proposed based on the rigid body element (RBE) method. Firstly, the beam is divided into a set of rigid body elements (RBEs), and two adjacent elements are contacted by an elastic joint (EJ), which is modeled through six imaginary springs. Secondly, the stiffness of an elastic joint (EJ) is calculated using cross-section parameters between two adjacent elements, and interaction forces and moments can be obtained. Then, equations of motions of each rigid body element (RBE) are given based on Newton–Euler equations. Finally, vibration is obtained through the fourth-order Runge–Kutta–Fehlberg method with a step-changing criterion, and the proposed model is verified by the finite element model (FEM).

KW - Dynamic modeling

KW - Elastic joint (EJ)

KW - Newton–Euler equation

KW - Rigid body element (RBE)

KW - Straight beam

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DO - 10.1007/978-981-99-8048-2_32

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T3 - Lecture Notes in Mechanical Engineering

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BT - Proceedings of the 2nd International Conference on Mechanical System Dynamics - ICMSD 2023

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PB - Springer Science and Business Media Deutschland GmbH

T2 - 2nd International Conference of Mechanical System Dynamics, ICMSD 2023

Y2 - 1 September 2023 through 5 September 2023

ER -

Wang D, Cao H, Yin C, Liu K. A Novel Dynamic Model of the Straight Beam Using the Rigid Body Element Method. In Rui X, Liu C, editors, Proceedings of the 2nd International Conference on Mechanical System Dynamics - ICMSD 2023. Springer Science and Business Media Deutschland GmbH. 2024. p. 509-518. (Lecture Notes in Mechanical Engineering). doi: 10.1007/978-981-99-8048-2_32

A Novel Dynamic Model of the Straight Beam Using the Rigid Body Element Method

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