scholarly journals A METHOD FOR CALCULATING THE NATURAL FREQUENCIES OF CONTINUOUS BEAMS, FRAMES, AND CERTAIN TYPES OF PLATES

1953 ◽  
Author(s):  
A. S. Veletsos ◽  
N. M. Newmark
Keyword(s):  
Natural Frequencies ◽  
Continuous Beams

scholarly journals Effect of intermediate supports location on natural frequencies of multiple cracked continuous beams

2018 ◽  
Author(s):  
Do Nam ◽  
Nguyen Tien Khiem ◽  
Le Khanh Toan ◽  
Nguyen Thi Thao ◽  
Pham Thi Ba Lien
Keyword(s):  
General Solution ◽  
Free Vibration ◽  
Natural Frequencies ◽  
Continuous Beam ◽  
Cracked Beam ◽  
Continuous Beams ◽  
Simplified Method ◽  
Rigid Supports ◽  
Natural Frequency Analysis ◽  
Eigenfrequency Spectrum

The present paper deals with free vibration of multiple cracked continuous beams with intermediate rigid supports. A simplified method is proposed to obtain general solution of free vibration in cracked beam with intermediate supports that is then used for natural frequency analysis of the beam in dependence upon cracks and support locations. Numerical results show that the support location or ratio of span lengths in combination with cracks makes a significant effect on eigenfrequency spectrum of beam. The discovered effects of support locations on eigenfrequency spectrum of cracked continuous beam are useful for detecting not only cracks but also positions of vanishing deflection on the beam.

Natural Frequencies of Continuous Beams of Uniform Span Length

1950 ◽  
Vol 17 (4) ◽  
pp. 391-395
Author(s):  
R. S. Ayre ◽  
L. S. Jacobsen
Keyword(s):  
Natural Frequencies ◽  
Flexural Vibration ◽  
Span Length ◽  
Continuous Beams

Abstract A simple graphical network is used to determine the natural frequencies of flexural vibration of continuous beams having any number of spans of uniform length. The network is based upon a relatively few calculated values.

EXACT VIBRATION FREQUENCIES AND MODES OF BEAMS WITH INTERNAL RELEASES

2002 ◽  
Vol 02 (01) ◽  
pp. 63-75 ◽  
Author(s):  
M. EISENBERGER
Keyword(s):  
Stiffness Matrix ◽  
Natural Frequencies ◽  
Dynamic Stiffness ◽  
Beam Element ◽  
Mode Shapes ◽  
Vibration Frequencies ◽  
Dynamic Stiffness Matrix ◽  
Continuous Beams ◽  
Stiffness Method ◽  
Dynamic Stiffness Method

The exact vibration frequencies of continuous beams with internal releases are found using the dynamic stiffness method. Two types of releases are considered: hinge and sliding discontinuities. First, the exact dynamic stiffness matrix for a beam element with a release is derived and then used in the assembly of the structure dynamic stiffness matrix. The natural frequencies are found as the values of frequency that make this matrix singular. Then the mode shapes are found exactly. Examples are given for continuous beams with different releases.

Dynamic Responses of Two Beams Connected by a Spring-Mass Device

2012 ◽  
Vol 29 (1) ◽  
pp. 143-155 ◽  
Author(s):  
H.- P. Lin ◽  
D. Yang
Keyword(s):  
Natural Frequencies ◽  
Beam Theory ◽  
Free Vibrations ◽  
Dynamic Responses ◽  
Mode Shapes ◽  
Entire System ◽  
Bernoulli Beam ◽  
Continuous Beams ◽  
Experimental Validations ◽  
Euler Bernoulli Beam

AbstractThis paper deals with the transverse free vibrations of a system in which two beams are coupled with a spring-mass device. The dynamics of this system are coupled through the motion of the mass. The entire system is modeled as two two-span beams and each span of the continuous beams is assumed to obey the Euler-Bernoulli beam theory. Considering the compatibility requirements across each spring con-nection position, the eigensolutions (natural frequencies and mode shapes) of this system can be obtained for different boundary conditions. Some numerical results and experimental validations are presented to demonstrate the method proposed in this article.

VIBRATIONS OF AXIALLY LOADED CONTINUOUS BEAMS

2002 ◽  
Vol 02 (01) ◽  
pp. 117-133 ◽  
Author(s):  
WISAM BUSOOL ◽  
MOSHE EISENBERGER
Keyword(s):  
Stiffness Matrix ◽  
Axial Load ◽  
Natural Frequencies ◽  
Dynamic Stiffness ◽  
Vibration Frequencies ◽  
Dynamic Stiffness Matrix ◽  
Continuous Beams ◽  
Axially Loaded ◽  
Constant Axial Load

The effect of a constant axial load either tensile or compressive on the natural frequencies of uniform multi-span beams is presented. The proposed solution is based on the exact dynamic stiffness matrix for the member, for any desired precision. The natural frequencies are found as the frequencies that cause the determinant of the stiffness matrix to become zero. The influence of the axial load and variation of span ratios on the vibration frequencies for beams with up to 4 spans are studied, and presented in graphical forms.

Changes of Natural Frequencies of Industrial Steel Hall due to Simplifications of Numerical Model

2013 ◽  
Vol 790 ◽  
pp. 16-20
Author(s):  
Joanna M. Dulinska ◽  
Pawel Boron
Keyword(s):  
Numerical Model ◽  
Dynamic Characteristics ◽  
Soil Structure ◽  
Natural Frequencies ◽  
Soil Structure Interaction ◽  
Flexible Joints ◽  
Structure Interaction ◽  
Continuous Beams ◽  
Different Types ◽  
Main Frame

The paper presents changes of natural frequencies of industrial steel hall due to simplifications or changes of numerical model. Firstly, the natural frequencies were calculated for basic Variant A of the numerical model of the steel hall which consisted of the main frames, footings, roof purlins and girts. In this Variant columns were fixed at bases, both purlins and girts were rigidly connected to main frames and designed as continuous beams. Then, in Variant B of the model columns were pinned at bases. Next, in Variant C different types of connections (semi-flexible joints) of roof purlins and girts with the main frame were implemented. Finally, in Variant D, soil-structure interaction was taken into consideration. The calculations of the dynamic characteristics of four abovementioned Variants of the numerical model of the hall showed that simplifications or changes of some details of the structure could result in significant errors in values of natural frequencies.

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