Bond Space Expression of Bending Vibration in Timoshenko Beam and Its Application in Muzzle Disturbance Analysis

Shengye LIN; Maosen WANG; Yangyang XIE; Yong LI; Jinsong DAI

doi:10.12382/bgxb.2022.0175

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Bond Space Expression of Bending Vibration in Timoshenko Beam and Its Application in Muzzle Disturbance Analysis

更新时间：2025-08-18

- Bond Space Expression of Bending Vibration in Timoshenko Beam and Its Application in Muzzle Disturbance Analysis
- Acta Armamentarii Vol. 44, Issue 6, Pages: 1775-1783(2023)
- 作者机构：
  
  1. 南京理工大学机械工程学院, 江苏南京 210094
  2. 西北机电工程研究所, 陕西咸阳 712000
- 作者简介：
- 基金信息：
- DOI：10.12382/bgxb.2022.0175
  CLC：
- Received：21 March 2022，
  
  Published Online：19 July 2023，
  
  Published：30 June 2023
- 稿件说明：
移动端阅览
Shengye LIN, Maosen WANG, Yangyang XIE, et al. Bond Space Expression of Bending Vibration in Timoshenko Beam and Its Application in Muzzle Disturbance Analysis[J]. Acta Armamentarii, 2023, 44(6): 1775-1783.
DOI：

Shengye LIN, Maosen WANG, Yangyang XIE, et al. Bond Space Expression of Bending Vibration in Timoshenko Beam and Its Application in Muzzle Disturbance Analysis[J]. Acta Armamentarii, 2023, 44(6): 1775-1783. DOI： 10.12382/bgxb.2022.0175.

摘要

为模拟梁类复杂系统的动力学行为

基于键合空间理论建立Timoshenko梁弯曲振动的动力学模型和固有频率特性分析方法。定义梁单元势、流、动量和位变空间向量

推导以动量空间向量和位变空间向量及其1阶导数表示的梁单元状态方程;通过直接求解特征值问题获得梁弯曲振动的固有频率和相应振型

所提方法与解析法计算的前6阶固有频率最大相对误差为 0.7960%

MAC不小于0.9972

说明梁弯曲振动键合空间模型是正确的。在此基础上

将所建梁弯曲振动键合空间模型嵌入某火炮自动机系统发射动力学模型中

开展了炮口扰动分析

仿真与连发射击试验测试结果相符

说明所建炮口扰动分析模型是正确的

为弹炮耦合发射系统动力学分析提供了新方法。

Abstract

In order to accurately simulate the dynamic behavior of complex beam system

a dynamic model for the Timoshenko beam is established based on the bond space theory

and the method to analyze the natural frequency is presented. The space vectors of effort

flow

momentum

and displacement for the beam unit are defined

and the state equations expressed in momentum space vectors

displacement space vectors

and their first derivatives are derived. Then

the natural frequencies and corresponding mode shapes of the bending beam are obtained by directly solving the eigenvalue problem. The natural frequencies of the free beam

calculated using the proposed bond space approach

match well with the analytical method. On this basis

the proposed model for the bending beam is used to extend the traditional launching system of the automatic gun. The calculated muzzle disturbance aligns well with the firing experiment

indicating that the proposed method is valid. This study provides a new method for the dynamic analysis of projectile-barrel coupling systems.

关键词

Keywords

references

MEHDI H , MOHAMAD S Q . Vibrations of straight and curved composite beams: a review [J ] . Composite Structures , 2013 , 100 : 218 - 232 . DOI: 10.1016/j.compstruct.2013.01.001 http://doi.org/10.1016/j.compstruct.2013.01.001 https://linkinghub.elsevier.com/retrieve/pii/S0263822313000093 https://linkinghub.elsevier.com/retrieve/pii/S0263822313000093

BEHERA L , CHAKRAVERTY S . Recent researches on nonlocal elasticity theory in the vibration of carbon nanotubes using beam models: a review [J ] . Archives of Computational Methods in Engineering , 2017 , 24 : 481 - 494 .

PANKAJ S . Vibration analysis of FGPM beam: a review [J ] . Materials Today: Proceedings , 2021 , 44 : 1384 - 1390 . DOI: 10.1016/j.matpr.2020.11.621 http://doi.org/10.1016/j.matpr.2020.11.621 https://linkinghub.elsevier.com/retrieve/pii/S2214785320392956 https://linkinghub.elsevier.com/retrieve/pii/S2214785320392956

付艳艳 , 余云燕 . 黏弹性Pasternak地基上两端简支的Timoshenko梁横向自由振动特性解析解 [J ] . 振动与冲击 , 2020 , 39 ( 19 ): 32 - 38 .

FU Y Y , YU Y Y . Analytical solution to transverse free vibration characteristics of a simply supported Timoshenko beam on viscoelastic Pasternak foundation [J ] . Journal of Vibration and Shock , 2020 , 39 ( 19 ): 32 - 38 . (in Chinese)

朱晓东 , 何欢 , 宋大鹏 , 等 . 一种考虑截面完整变形特征的空间三维梁有限元模型 [J ] . 振动工程学报 , 2019 , 32 ( 2 ): 241 - 251 .

ZHU X D , HE H , SONG D P , et al . Finite element model of the three dimensional beam for accurately describing arbitrary deformation of the beam’s cross-section [J ] . Journal of Vibration Engineering , 2019 , 32 ( 2 ): 241 - 251 . (in Chinese)

杨海根 , 芮筱亭 , 刘怡昕 , 等 . 多体系统传递矩阵法分布式并行计算研究 [J ] . 振动工程学报 , 2014 , 27 ( 1 ): 9 - 15 .

YANG H G , RUI X T , LIU Y X , et al . Study on distributed parallel computing of transfer matrix method for multibody systems [J ] . Journal of Vibration Engineering , 2014 , 27 ( 1 ): 9 - 15 . (in Chinese)

杨国来 , 葛建立 , 孙全兆 , 等 . 火炮振动与控制的发展现状及应用前景 [J ] . 振动、测试与诊断 , 2021 , 41 ( 6 ): 1043 - 1051 .

YANG G L , GE J L , SUN Q Z , et al . Development and application prospects of gun vibration and control [J ] . Journal of Vibration, Measurement & Diagnosis , 2021 , 41 ( 6 ): 1043 - 1051 . (in Chinese)

KARNOPP D C , ROSENBERG R , PERELSON A S . System dynamics: a unified approach [M ] . NY, US : Wiley-Interscience , 1975 .

戴劲松 , 王茂森 , 苏晓鹏 , 等 . 现代火炮自动机设计理论 [M ] . 北京 : 国防工业出版社 , 2018 .

DAI J S , WANG M S , SU X P , et al . Design theory of modern automatic cannon [M ] . Beijing : National Defense Industry Press , 2018 . (in Chinese)

GIBERTO G A , GERARDO A , NOE B G , et al . Linearization of a class of non-linear systems modelled by multiband graphs [J ] . Mathematical and Computer Modelling of Dynamical Systems , 2019 , 25 ( 3 ): 284 - 332 . DOI: 10.1080/13873954.2019.1621905 http://doi.org/10.1080/13873954.2019.1621905 https://www.tandfonline.com/doi/full/10.1080/13873954.2019.1621905 https://www.tandfonline.com/doi/full/10.1080/13873954.2019.1621905

XING Y H , PEDERSEN E , MOAN I . An inertia-capacitance beam substructure formulation based on the bond graph method with application to rotating beams [J ] . Journal of Sound and Vibration , 2011 , 330 ( 21 ): 5114 - 5330 . DOI: 10.1016/j.jsv.2011.05.025 http://doi.org/10.1016/j.jsv.2011.05.025 https://linkinghub.elsevier.com/retrieve/pii/S0022460X1100410X https://linkinghub.elsevier.com/retrieve/pii/S0022460X1100410X

王艾伦 , 章圣聪 , 骆舟 . 基于键合图的梁模态分析及其在燃气轮机转子中的应用 [J ] . 机械科学与技术 , 2009 , 28 ( 1 ): 1 - 4 .

WANG A L , ZHANG S C , LUO Z . Modal analysis of Timoshenko beam by bond graph and its application to a combustion turbine [J ] . Mechanical Science and Technology for Aerospace Engineering , 2009 , 28 ( 1 ): 1 - 4 . (in Chinese)

薛晓鹏 , 樊久铭 , 刘钊 , 等 . 拉格朗日键合图的欧拉梁的模态分析 [J ] . 哈尔滨工业大学学报 , 2010 , 42 ( 1 ): 1 - 4 .

XUE X P , FAN J M , LIU Z , et al . Modal analysis of Euler beam based on Lagrangian bond graph [J ] . Journal of the Harbin Institute of Technology , 2010 , 42 ( 1 ): 1 - 4 . (in Chinese)

王艾伦 , 钟掘 . 模态分析的一种新方法——键合图法 [J ] . 振动工程学报 , 2003 , 16 ( 4 ): 463 - 467 .

WANG A L , ZHONG J . A new method of modal analysis—bond graph method [J ] . Journal of Vibration Engineering , 2003 , 16 ( 4 ): 463 - 467 . (in Chinese)

THOMSON W T , DAHLEN M D . Theory of vibration with applications [M ] .5 ed. NJ, US : Prentice Hall , 1998 .

LIU F F , SONG Y M , YU H L . Study on the influence of projectile on muzzle disturbance [J ] . Defence Technology , 2018 , 14 ( 5 ): 570 - 577 . DOI: 10.1016/j.dt.2018.07.016 http://doi.org/10.1016/j.dt.2018.07.016 In order to make an efficient analysis of muzzle disturbance influenced by projectile mass, mass eccentricity, dynamic unbalance, load deviation, and clearance between projectile and bore, the orthogonal test method is extended to analyze the launch dynamics. Taking a tank as the research object, the launch dynamics equations of a tank system are established. Based on the stochastic simulation principle, the tank launch dynamic simulation system is constructed and through the development of the orthogonal test method, the influence of projectile on muzzle disturbance is studied. The study results provided both theoretical foundation and simulation approaches for improving the firing dispersion of the tank. © 2018

姚天乐 , 马吉胜 , 陶凤和 , 等 . 弹丸与身管耦合振动问题的迭代解法 [J ] . 兵工学报 , 2018 , 39 ( 7 ): 1268 - 1276 . DOI: 10.3969/j.issn.1000-1093.2018.07.003 http://doi.org/10.3969/j.issn.1000-1093.2018.07.003 为实现弹丸与身管耦合振动模型的快速准确数值计算，提出了弹丸与身管耦合振动问题的迭代求解方法。在分析弹丸与身管耦合振动动力学特性基础上，通过将弹丸在身管内运动时间离散化，实现了耦合振动连续过程离散化。基于微分方程理论，利用迭代计算方法对弹丸在身管内运动时对身管上各个点引起的耦合振动进行求解，进而求解出弹丸连续移动时对身管引起的耦合振动。在考虑弹丸惯性效应和梁的曲率变化条件下，构建了迭代解法的程式化流程，使得该方法更加易于实现数值计算。利用该方法对弹丸与身管耦合振动模型进行数值求解，结果表明该解法能快速有效地实现对弹丸与身管耦合振动问题的求解。

YAO T L , MA J S , TAO F H , et al . An iterative solution of projectile-barrel coupling problem [J ] . Acta Armamentarii , 2018 , 39 ( 7 ): 1268 - 1276 . (in Chinese)

孙玉杰 , 崔青春 , 丁宏民 , 等 . SPH-FEM耦合方法在弹丸膛内运动中的应用 [J ] . 振动与冲击 , 2019 , 38 ( 8 ): 166 - 172 , 187.

SUN Y J , CUI Q C , DING H M , et al . Application of a three-dimensional FEM-SPH coupling method to projectile motion in a bore [J ] . Journal of Vibration and Shock , 2019 , 38 ( 8 ): 166 - 172 , 187. (in Chinese)

岳鹏飞 , 王德石 , 刘宝 . 弹丸激励下身管和摇架耦合系统动力学分析 [J ] . 华中科技大学学报(自然科学版) , 2019 , 47 ( 5 ): 16 - 21 .

YUE P F , WANG D S , LIU B . Dynamic analysis on coupling system of barrel and cradle subjected to projectile [J ] . Journal of Huazhong University of Science and Technology (Natural Science Edition) , 2019 , 47 ( 5 ): 16 - 21 . (in Chinese)

刘圣强 , 殷鹏贤 , 陈雷 , 等 . 基于刚柔耦合的航炮炮口振动研究 [J ] . 舰船科学技术 , 2020 , 42 ( 11 ): 165 - 169 .

LIU S Q , YIN P X , CHEN L , et al . Research on muzzle vibration of an aircraft gun based on rigid-flexible coupling model [J ] . Ship Science and Technology , 2020 , 42 ( 11 ): 165 - 169 . (in Chinese)

CHEN Y , YANG G L , SUN Q Z . Dynamic simulation on vibration control of marching tank gun based on adaptive robust control [J ] . Journal of Low Frequency Noise, Vibration and Active Control , 2020 , 39 ( 2 ): 416 - 434 . DOI: 10.1177/1461348419846685 http://doi.org/10.1177/1461348419846685 http://journals.sagepub.com/doi/10.1177/1461348419846685 http://journals.sagepub.com/doi/10.1177/1461348419846685 In order to better understand the dynamic behavior and decrease the muzzle vibration of marching tank, a mechanical–electrical–hydraulic integrated dynamic model of marching tank was established based on a novel dynamic co-simulation method. The hydraulic system model was modeled in Amesim and the dynamic model of marching tank was established in RecurDyn based on multi-body system theory, vehicle terramechanics, and gun launch dynamics. The control system model was modeled in MATLAB/Simulink. Therein, the adaptive robust control algorithm was introduced to design the vertical stabilizer controller and the simulation program of the designed controller was developed by C language. The simulation results show that the muzzle vibration of marching tank can be controlled effectively by the ARC method. Furthermore, the muzzle error compensation signal was added in the designed controller to weaken the detrimental effect of the barrel flexibility on muzzle vibration. This work provides an approach to investigate the dynamic behavior of marching tank considering effects among the mechanical, hydraulic, and control subsystems.

黄剑锋 , 余涛 , 陈江义 . 刚体碰撞的Hertz接触力模型比较分析 [J ] . 机械设计与制造 , 2017 , 8 ( 1 ): 28 - 30 .

HUANG J F , YU T , CHEN J Y . Comparison and analysis of Hertz contact force models for collision of rigid bodies [J ] . Machinery Design & Manufacture , 2017 , 8 ( 1 ): 28 - 30 . (in Chinese)

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