Vibration of a Standing Heavy Column With Intermediate Support

被引：5

作者：

Wang, C. Y. ^{[1
,2
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[2] Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 2010年 / 132卷 / 04期

关键词：

column; vibration; heavy; support;

D O I：

10.1115/1.4001511

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The vibration of a free standing column under its own weight is studied. An intermediate support increases the fundamental frequency. The optimum location for the support is determined for clamped-free, pinned-free, and sliding-free columns. The problem is integrated by a simple accurate initial value method. Approximate and exact relations are also found. [DOI: 10.1115/1.4001511]

引用

页码：0445021 / 0445024

页数：4

共 8 条

[1] VIBRATION OF A ROTATING-DISK [J].

BARASCH, S ;

CHEN, Y .

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1972, 39 (04) :1143-1144

[2]

Courant R., 1955, METHODS MATH PHYS, V1

[3]

HUANG T, 1969, J ENG MECH DIVISION, V95, P167

[4] Transverse vibration of an uniform Euler-Bernoulli beam under linearly varying axial force [J].

Naguleswaran, S .

JOURNAL OF SOUND AND VIBRATION, 2004, 275 (1-2) :47-57

[5] FREE VIBRATION OF A HEAVY, DAMPED, VERTICAL CANTILEVER [J].

PAIDOUSSIS, MP ;

DESTROIS.PE .

JOURNAL OF APPLIED MECHANICS, 1971, 38 (02) :524-+

[6]

Pilkington D., 1970, J. Mech. Eng. Sci, V12, P70, DOI [10.1243/JMESJOUR197001201202, DOI 10.1243/JMESJOUR197001201202]

[7] Effect of gravity on the vibration of vertical cantilevers [J].

Virgin, L. N. ;

Santillan, S. T. ;

Holland, D. B. .

MECHANICS RESEARCH COMMUNICATIONS, 2007, 34 (03) :312-317

[8]

Wang CM, 2005, EXACT SOLUTIONS BUCK

← 1 →