Dynamic responses of a three-span continuous girder bridge with variable cross-section based on vehicle–bridge coupled vibration analysis

In practical engineering, we often encounter designs of variable cross-section or compound section skew girder bridge. While in many bibliographies, uniform cross-section of the concrete beams studying was carried out, but few of variable cross-section concrete beams were in-depth studied. Based on analyzing the mechanical behavior of variable cross-section beam skew girder bridge, the semi-analytic solution of variable cross-section beam skew girder bridges were provided in this paper. With this method developed a planar computation program to resolve the calculation problems of skew girder bridge, a more convenient way will be brought up for designers in calculation.

Download Full-text

Use moded bar of variable cross section in vibration analysis of telescopic boom system of truck-mounted cranes

Naukovij žurnal «Tehnìka ta energetika» ◽

10.31548/machenergy2020.01.141 ◽

2020 ◽

Vol 11 (1) ◽

pp. 141-146

Author(s):

I. M. Sivak ◽

◽

Yu. V. Chovnyuk ◽

Keyword(s):

Cross Section ◽

Vibration Analysis ◽

Variable Cross Section ◽

Variable Cross

Download Full-text

Free vibration analysis of functionally graded cylindrical helices with variable cross-section

Journal of Sound and Vibration ◽

10.1016/j.jsv.2020.115856 ◽

2020 ◽

pp. 115856

Author(s):

Yavuz Cetin Cuma ◽

Faruk Firat Calim

Keyword(s):

Free Vibration ◽

Cross Section ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Variable Cross Section ◽

Functionally Graded ◽

Variable Cross

Download Full-text

A unified procedure for the vibration analysis of elastically restrained Timoshenko beams with variable cross sections

Noise Control Engineering Journal ◽

10.3397/1/37683 ◽

2020 ◽

Vol 68 (1) ◽

pp. 38-47

Author(s):

Gang Wang ◽

Wen L. Li ◽

Wanyou Li ◽

Zhihua Feng ◽

Junfang Ni

Keyword(s):

Cross Section ◽

Cross Sections ◽

Vibration Analysis ◽

Variable Cross Section ◽

Variable Cross ◽

Timoshenko Beams ◽

Unified Approach ◽

Cross Section Area ◽

Section Area ◽

Elastically Restrained

A generalized analytical method is developed for the vibration analysis of Timoshenko beams with elastically restrained ends. For a beam with any variable cross section along the lengthwise direction, the finite element method is the only unified approach to handle those kinds of problems, since the analytical solutions could not be obtained by the governing equations when the cross section area and the second moment of area changing variably lengthwise. In this article, a unified approach is proposed to study the Timoshenko beam with any variable cross sections. The cross section area and second moment of area of the beam are both expanded into cosine series, which are mathematically capable of representing any variable cross section. The translational displacement and rotation of cross section are expressed in the Fourier series by adding some admissible functions which are used to handle the elastic boundary conditions with more accuracy and high convergence rate. By using Hamilton's principle, the eigenvalues and the coefficients of the Fourier series are both obtained. Some examples are presented to illustrate the excellent accuracy of this method. Analytical solutions of the vibration of the beam are achieved for different combinations of boundary conditions including classical and elastically restrained ones. The derived results can be used as benchmark solutions for testing approximate or numerical methods used for the vibration analysis of Timoshenko beams with any variable cross section.

Download Full-text