Radial Vibrations of Axisymmetrically Loaded Stepped Pressure Vessels

Zhang Yingshi; Ma Zhixang

Volume 20 Issue 1

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(1): 99-103

Zhang Yingshi, Ma Zhixang. Radial Vibrations of Axisymmetrically Loaded Stepped Pressure Vessels[J]. Applied Mathematics and Mechanics, 1999, 20(1): 99-103.

Citation:

Zhang Yingshi, Ma Zhixang. Radial Vibrations of Axisymmetrically Loaded Stepped Pressure Vessels[J]. Applied Mathematics and Mechanics, 1999, 20(1): 99-103.

Citation:

Zhang Yingshi, Ma Zhixang. Radial Vibrations of Axisymmetrically Loaded Stepped Pressure Vessels[J]. Applied Mathematics and Mechanics, 1999, 20(1): 99-103.

PDF( 2201 KB)

Radial Vibrations of Axisymmetrically Loaded Stepped Pressure Vessels

Zhang Yingshi¹,
Ma Zhixang²

^1. Division 508, Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronatics and Astronautics, Beijing 100083, P R China;
^2. Beijing Communications Management Institute for Executives, Beijing 101601, P R China

Received Date: 1997-04-21
Rev Recd Date: 1998-09-22
Publish Date: 1999-01-15

Abstract

Abstract

Differential equations of free/forced radial vibrations of axisymmetrically loaded stapped pressure vessels are established by using singular functions. Furthermore,their general solutions are solved, the expression of vibration mode function and frequency equations on usual supports are derived with W operator and forced response of such vessels are calculate.
- axisymmetrically loaded,
- stepped pressure vessel,
- radial vibration,
- free vibration,
- forced response

FullText(HTML)

References(2)

References

[1]	Ugral A C.板壳应力[M].范钦珊译.北京:中国建筑工业出版社,1986,188～190
[2]	张英世,王燮山.文克尔地基上阶梯式单向矩形薄板的振动[J].应用数学和力学,1998,19(2):157～164.

Relative Articles

[1]	ZHANG Jichao, ZHONG Xinyu, CHEN Yiming, SHI Yueqing, GUO Chengjie, LI Rui. Hamiltonian System-Based Analytical Solutions to Free Vibration Problems of Functionally Graded Rectangular Plates[J]. Applied Mathematics and Mechanics, 2024, 45(9): 1157-1171. doi: 10.21656/1000-0887.440279
[2]	HAN Shaoyan, GAO Ruxin. A Wave Finite Element Method for Free Vibration Analysis of Lattice Core Sandwich Cylindrical Shells[J]. Applied Mathematics and Mechanics, 2024, 45(1): 25-33. doi: 10.21656/1000-0887.440130
[3]	LI Yihao, XU Dian, CHEN Yiming, AN Dongqi, LI Rui. Finite Integral Transform Solutions for Free Vibrations of Rectangular Thin Plates With Mixed Boundary Constraints[J]. Applied Mathematics and Mechanics, 2023, 44(9): 1112-1121. doi: 10.21656/1000-0887.440051
[4]	LI Qing, CHEN Shenshen. Free Vibration Analysis of Laminated Composite Plates Based on the Reconstructed Edge-Based Smoothing DSG Method[J]. Applied Mathematics and Mechanics, 2022, 43(10): 1123-1132. doi: 10.21656/1000-0887.430109
[5]	BAO Siyuan, ZHOU Jing, LU Jianwei. Free Vibration of MultiSegment Beams With Arbitrary Boundary Conditions[J]. Applied Mathematics and Mechanics, 2020, 41(9): 985-993. doi: 10.21656/1000-0887.410045
[6]	WANG Yongfu, QI Wenkai, SHEN Cheng. Free Vibration Analysis of Rectangular Honeycomb-Cored Plates Under Elastically Constrained Boundary Conditions[J]. Applied Mathematics and Mechanics, 2019, 40(6): 583-594. doi: 10.21656/1000-0887.390348
[7]	ZHONG Hao, XIANG Tianyu. A Transfer Matrix Algorithm for Vertical Free Vibration of Suspension Bridges[J]. Applied Mathematics and Mechanics, 2019, 40(9): 991-999. doi: 10.21656/1000-0887.390221
[8]	BAO Si-yuan, DENG Zi-chen. High-Precision Approximate Analytical Solutions for Free Bending Vibrations of Thin Plates and an Improvement[J]. Applied Mathematics and Mechanics, 2016, 37(11): 1169-1180. doi: 10.21656/1000-0887.370005
[9]	LI Wen-da, DU Jing-tao, YANG Tie-jun, LIU Zhi-gang. Traveling Wave Mode Characteristics of Rotating Functional Gradient Material Cylindrical Shell Structures With Elastic Boundary Constraints[J]. Applied Mathematics and Mechanics, 2015, 36(7): 710-724. doi: 10.3879/j.issn.1000-0887.2015.07.004
[10]	Lazreg Hadji, Hassen Ait Atmane, Abdelouahed Tounsi, Ismail Mechab, Noureddine Ziane, El Abbas Adda Bedia. Free Vibration of Functionally Graded Sandwich Plates Using Four Variable Refined Plate Theory[J]. Applied Mathematics and Mechanics, 2011, 32(7): 866-882. doi: 10.3879/j.issn.1000-0887.2011.07.010
[11]	LI Shan-qing, YUAN Hong. Quasi-Green’s Function Method for Free Vibration of Clamped Thin Plates on Winkler Foundation[J]. Applied Mathematics and Mechanics, 2011, 32(3): 253-262. doi: 10.3879/j.issn.1000-0887.2011.03.001
[12]	CAO Xiong-tao, ZHANG Zhi-yi, HUA Hong-xing. Free Vibration of Circular Cylindrical Shell With Constrained Layer Damping[J]. Applied Mathematics and Mechanics, 2011, 32(4): 470-482. doi: 10.3879/j.issn.1000-0887.2011.04.009
[13]	LI Shan-qing, YUAN Hong. Quasi-Green’s Function Method for Free Vibration of Simply-Supported Trapezoidal Shallow Spherical Shell[J]. Applied Mathematics and Mechanics, 2010, 31(5): 602-608. doi: 10.3879/j.issn.1000-0887.2010.05.011
[14]	LI Shi-rong, SU Hou-de, CHENG Chang-jun. Free Vibration of Functionally Graded Material Beams With Surface-Bonded Piezoelectric Layers in Thermal Environment[J]. Applied Mathematics and Mechanics, 2009, 30(8): 907-918. doi: 10.3879/j.issn.1000-0887.2009.08.003
[15]	WANG Yun, XU Rong-qiao, DING Hao-jiang. Free Axisymmetric Vibration of FGM Circular Plates[J]. Applied Mathematics and Mechanics, 2009, 30(9): 1009-1014. doi: 10.3879/j.issn.1000-0887.2009.09.001
[16]	HUANG Yan, LEI Yong-jun, SHEN Hui-jun. Free Vibration of Anisotropic Rectangular Plates by General Analytical Method[J]. Applied Mathematics and Mechanics, 2006, 27(4): 411-416.
[17]	SHANG Xin-chun. An Exact Analysis for Free Vibration of a Composite Shell Structure-Hermetic Capsule[J]. Applied Mathematics and Mechanics, 2001, 22(9): 934-942.
[18]	Zhang Yingshi. Vibrations of Stepped One-Way Thin Rectangular Plates Subjected to in-Plane Tensile/Compressive Force in y-Direction on Winkler’s Foundation[J]. Applied Mathematics and Mechanics, 2000, 21(7): 708-714.
[19]	Zhang Yingshi. Vibrations of Stepped Rectangular Thin Plates on Winkler’s Foundation[J]. Applied Mathematics and Mechanics, 1999, 20(5): 535-544.
[20]	Zhang Yingshi, Wang Xieshan. Vibrations of One-Way Rectangular Stepped Thin Plates on Winkler’s Foundation[J]. Applied Mathematics and Mechanics, 1998, 19(2): 156-164.