scholarly journals Free and forced vibration analysis of multiple cracked FGM multi span continuous beams using dynamic stiffness method

2019 ◽  
Vol 16 (2) ◽  
Author(s):  
Tran Van Lien ◽  
Ngo Trong Đuc ◽  
Nguyen Tien Khiem
Keyword(s):  
Forced Vibration ◽  
Vibration Analysis ◽  
Dynamic Stiffness ◽  
Continuous Beams ◽  
Stiffness Method ◽  
Dynamic Stiffness Method ◽  
Forced Vibration Analysis

scholarly journals Application of dynamic stiffness method in numerical free vibration analysis of stiffened plates

2017 ◽  
Vol 60 (2) ◽  
pp. 21-32
Author(s):  
Emilija Damnjanović ◽  
Miroslav Marjanović ◽  
Marija Nefovska-Danilović ◽  
Miloš Jočković ◽  
Nevenka Kolarević
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Dynamic Stiffness ◽  
Free Vibration Analysis ◽  
Stiffened Plates ◽  
Stiffness Method ◽  
Dynamic Stiffness Method

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.

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