Add to ORKGIt was presented in the first report that some of the end conditions for free flexural vibration of uniform bars should be obtained by the theoretical analysis. This second report describes analytical techniques for obtaining the frequency equations by use of the results in the previous work. Following such analytical techniques, the frequency equations and vibration mode shapes for cantilever and simply supported beams are presented. It is also shown that some modified expressions of mode shapes for these beams can be obtained
Many vibration text books give expressions for the mode shape functions of uniform Euler–Bernoulli b...
Exact natural frequencies of functionally graded beams are determined using plane elasticity theory....
The object of this study is to investigate the free vibration behaviour of slightly curved simply su...
In the first report, an analytical technique to get the end conditions and the classical frequency e...
In this fourth report, the transverse free vibrations of a propped cantilever which is a uniform bar...
The major goal of this paper is to address the derivation of the frequency equation of flexural vibr...
A technique is presented whereby the standard finite element approximations used in vibration analys...
Theoretical derivations of the effect of transverse shear and rotary inertia on the frequencies of a...
Graduation date: 1980The exact frequencies and mode shapes of flexural vibration of a\ud rotating be...
Two methods (equivalent force method and segmental mode assuming method) of calculating the natural ...
A rapid approximate method is presented for calculating the fundamental frequencies of flexural vib...
The effect of a small change in position of one of the supports on the natural frequencies and modes...
For n stations along the beam, the first n-1 modes and frequencies were in good agreement with theor...
The purpose of the present paper is the development of a physically discrete model for free transver...
The problem of free vibration of Timoshenko beams with elastically supported ends can be solved by ...
Many vibration text books give expressions for the mode shape functions of uniform Euler–Bernoulli b...
Exact natural frequencies of functionally graded beams are determined using plane elasticity theory....
The object of this study is to investigate the free vibration behaviour of slightly curved simply su...
In the first report, an analytical technique to get the end conditions and the classical frequency e...
In this fourth report, the transverse free vibrations of a propped cantilever which is a uniform bar...
The major goal of this paper is to address the derivation of the frequency equation of flexural vibr...
A technique is presented whereby the standard finite element approximations used in vibration analys...
Theoretical derivations of the effect of transverse shear and rotary inertia on the frequencies of a...
Graduation date: 1980The exact frequencies and mode shapes of flexural vibration of a\ud rotating be...
Two methods (equivalent force method and segmental mode assuming method) of calculating the natural ...
A rapid approximate method is presented for calculating the fundamental frequencies of flexural vib...
The effect of a small change in position of one of the supports on the natural frequencies and modes...
For n stations along the beam, the first n-1 modes and frequencies were in good agreement with theor...
The purpose of the present paper is the development of a physically discrete model for free transver...
The problem of free vibration of Timoshenko beams with elastically supported ends can be solved by ...
Many vibration text books give expressions for the mode shape functions of uniform Euler–Bernoulli b...
Exact natural frequencies of functionally graded beams are determined using plane elasticity theory....
The object of this study is to investigate the free vibration behaviour of slightly curved simply su...