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Can a beam act like a spring in relation to other spring?

Submitted by tarekaly on
a simply supported beam (length= L) is subjected to an upward force= F at the middle , at the same time there is a spring above the top of the beam at the middle too and the spring is subjected to a downward force = - F .

the spring stiffness is k1, beam stiffness k2 (which equal to the force which produce 1mm deflection at the middle of the beam i.e = 48EI/L^3 ).
the beam can be steel beam UPN 80 , considering weak axis Y (19.4 cm4)

An interesting arXiv paper: "Precession optomechanics"

Submitted by Ajit R. Jadhav on

Hi all,

Just thought that the following paper archived at the arXiv yesterday could be of general interest to any mechanician:

Xingyu Zhang, Matthew Tomes, Tal Carmon (2011) "Precession optomechanics," arXiv:1104.4839 [^]

The fig. 1 in it makes the matter conceptually so simple that the paper can be recommended to any mechanician for his general reading, and not only to a specialist in the field.



--Ajit

[E&OE]

I was wondering what is origin of weak form in continuum mechanics.

Submitted by roger84 on
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 Last day, I took my class of Nonlinear Analysis of solids and structures.

 And I learned about the strong form & weak form in the prilciple of Virtual work.

 I can find the origin of those two form that is from Piola-Kirchhoff stress tensor.

 but why Integral form is called "weak form"? why Differential form is called "strong form"? why?

 I was just wondering.

 

Mixed hardening Amstrong-Frederick and Ludwik J2 plasticity model VUMAT implementation

Submitted by bitamendi on

Hi, I’m trying to implement a mixed hardening J2 plasticity model. The idea is to use the Ludwik law to represent the isotropic hardening and the Amstrong-Frederick law for the kinematic hardening, both combine in a J2 classic von Mises model.

 

I need some advice for the return mapping algorithm.

 

Once that I have check that the elastic trial state is not plastically admissible I have to solve a three equation system, where the first two are a tensor equations and the third one is the J2 yield function equation.

 

The 48th Annual Technical Meeting of Society of Engineering Sciences will be held October 12-14, 2011

Submitted by jqu on

The 48th Annual Technical Meeting of Society of Engineering Sciences will be held October 12-14, 2011 at Northwestern University Evanston, Illinois 60208, USA.  The meeting will have 43 symposia covering a wide range of topics in engineering sciences.  To learn more about the conference and submit an abstract, please check the conference webpage www.ses2011.org.

MODELING COUPLING EFFECTS IN CORD-RUBBER COMPOSITE STRUCTURES

Submitted by saberelarem on

 An analytical model is developed to study the coupling effects in
cord-rubber composite materials. The analytical model takes into account
the mismatch of stiffness between the cords and the rubber matrix
material, and the twist-extension coupling. The transverse deformation,
i.e., normal to the cords direction is based on the normal modes of a
special system which describes the orthotropic and the coupling
behaviour of cord-rubber composites. The equations of motion for the
cord-composite plates are derived using the principle of virtual work.
Results of deformation and stresses are obtained for some typical
cord-rubber composite plates and are compared to the existing solutions.
The results presented illustrate that the coupling effects are