Dynamic Response of Functionally Graded Fractionally Damped Simply Supported Beam Subjected to Moving Mass

2018 ◽  
Author(s):  
Amro A. Almbaidin ◽  
Ibrahim M. Abu-Alshaikh
Keyword(s):  
Dynamic Response ◽  
Functionally Graded ◽  
Moving Mass ◽  
Simply Supported Beam ◽  
Simply Supported

On Equivalence of the Moving Mass and Moving Oscillator Problems

2001 ◽  
Author(s):  
Alexander V. Pesterev ◽  
Lawrence A. Bergman ◽  
Chin An Tan ◽  
T.-C. Tsao ◽  
Bingen Yang
Keyword(s):  
High Frequency ◽  
Initial Conditions ◽  
High Frequency Component ◽  
Strict Sense ◽  
Moving Mass ◽  
Spring Stiffness ◽  
Mass Model ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Moving Oscillator

Abstract Asymptotic behavior of the solution of the moving oscillator problem is examined for large values of the spring stiffness for the general case of nonzero beam initial conditions. In the limit of infinite spring stiffness, the moving oscillator problem for a simply supported beam is shown to be not equivalent in a strict sense to the moving mass problem; i.e., beam displacements obtained by solving the two problems are the same, but the higher-order derivatives of the two solutions are different. In the general case, the force acting on the beam from the oscillator is shown to contain a high-frequency component, which does not vanish, or even grows, when the spring coefficient tends to infinity. The magnitude of this force and its dependence on the oscillator parameters can be estimated by considering the asymptotics of the solution for the initial stage of the oscillator motion. For the case of a simply supported beam, the magnitude of the high-frequency force linearly depends on the oscillator eigenfrequency and velocity. The deficiency of the moving mass model is noted in that it fails to predict stresses in the bridge structure. Results of numerical experiments are presented.

Dynamic responses and fuzzy control of a simply-supported beam subjected to a moving mass

2006 ◽  
Vol 20 (9) ◽  
pp. 1371-1381
Author(s):  
Yong-Sik Kong ◽  
Bong-Jo Ryu ◽  
Kwang-Bok Shin ◽  
Gyu-Seop Lee ◽  
Hong-Gi Lee
Keyword(s):  
Fuzzy Control ◽  
Dynamic Responses ◽  
Moving Mass ◽  
Simply Supported Beam ◽  
Simply Supported

Stability and local bifurcation in a simply-supported beam carrying a moving mass

2007 ◽  
Vol 20 (2) ◽  
pp. 123-129 ◽  
Author(s):  
Pan Liu ◽  
Qiao Ni ◽  
Lin Wang ◽  
Liang Yuan
Keyword(s):  
Local Bifurcation ◽  
Moving Mass ◽  
Simply Supported Beam ◽  
Simply Supported

Response of Elastic Bodies to a Uniformly Accelerating Point Force

1970 ◽  
Vol 92 (2) ◽  
pp. 400-403
Author(s):  
T. F. Raske ◽  
Ki Sub Joung
Keyword(s):  
Cylindrical Shell ◽  
Dynamic Response ◽  
Rectangular Plate ◽  
Linear Theory ◽  
Point Force ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Shallow Cylindrical Shell ◽  
Elastic Bodies ◽  
Constant Magnitude

An analysis based upon linear theory is presented for determining the dynamic response of a simply supported beam, rectangular plate and shallow cylindrical shell to a point force of variable magnitude uniformly accelerating across the surface of these elastic bodies. It is shown that resonant conditions are not associated with problems of this type. Typical deflection profiles are included for a constant magnitude point force accelerating across a beam.

Sign in / Sign up

Export Citation Format

Share Document