A DYNAMIC GREEN FUNCTION FORMULATION FOR THE RESPONSE OF A BEAM STRUCTURE TO A MOVING MASS

1998 ◽  
Vol 210 (3) ◽  
pp. 295-306 ◽  
Author(s):  
M.A. Foda ◽  
Z. Abduljabbar
Keyword(s):  
Green Function ◽  
Moving Mass ◽  
Beam Structure ◽  
Function Formulation

Green function formulation of the Dirac field in curved space

1966 ◽  
Vol 294 (1439) ◽  
pp. 437-448 ◽  
Keyword(s):  
Green Function ◽  
Dirac Field ◽  
Green Functions ◽  
Field Equations ◽  
Curved Space ◽  
Particle Field ◽  
Function Formulation ◽  
Essential Idea ◽  
Mass Field

A Green function formulation of the Dirac field in curved space is considered in the cases where the mass is constant and where it is regarded as a direct particle field in the manner of Hoyle & Narlikar (1964 c ). This description is equivalent to, and in some ways more satisfactory than, that given in terms of a suitable Lagrangian, in which the Dirac or the mass field is regarded as independent of the geometry. The essential idea is to define the Dirac or the mass field in terms of certain Green functions and sources so that the field equations are satisfied identically, and then to obtain the contribution of these fields to the metric field equations from the variation of a suitable action that is defined in terms of the Green functions and sources.

Forced vibration of multi-span cracked Euler–Bernoulli beams using dynamic Green function formulation

2019 ◽  
Vol 148 ◽  
pp. 484-494 ◽  
Author(s):  
Amin Ghannadiasl ◽  
Saeid Khodapanah Ajirlou
Keyword(s):  
Green Function ◽  
Forced Vibration ◽  
Function Formulation

Green function formulation of interactions of arbitrary fields

1969 ◽  
Vol 65 (3) ◽  
pp. 759-771
Author(s):  
Jamal N. Islam
Keyword(s):  
Gravitational Field ◽  
Green Function ◽  
Arbitrary Spin ◽  
Green Functions ◽  
Function Formulation

AbstractA Green function formulation of a system that describes the interaction of fields of arbitrary spin with the gravitational field andparticles is given. The Lagrangian considered is essentially the most general that admits of a description through Green functions.

Dynamic Deflection of a Cantilever Beam Carrying Moving Mass

2014 ◽  
Vol 592-594 ◽  
pp. 1040-1044
Author(s):  
Shakti P. Jena ◽  
D.R. Parhi
Keyword(s):  
Differential Equation ◽  
Numerical Analysis ◽  
Boundary Conditions ◽  
Cantilever Beam ◽  
Continuum Mechanics ◽  
Fourth Order ◽  
Moving Mass ◽  
Kutta Method ◽  
Beam Structure ◽  
Runge Kutta Method

In the present work, the dynamic deflection of a cantilever beam subjected to moving mass has been investigated theoretically and numerically. The mass is moved by an external force. The effects of mass magnitude and the speed of the moving mass on the response of the beam structure have been investigated. Using continuum mechanics the differential equation for the systems have been developed and solved by fourth order Runge-Kutta method with different boundary conditions. Numerical analysis has been carried out with different examples to describe the response of the beam structure.

Sign in / Sign up

Export Citation Format

Share Document