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Computational Mechanics Forum

free vibration mode shapes of beam (other than pinned-pinned) and finite strip method

Submitted by sasaborg on
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Hi everyone.

I'm working on my master thesis, dynamic analysis of plates using finite strip method.

I have found one problem (among others) that could be interesting to community.

In the attachment you can find example from Mathematica. There is 21 mode shapes of clamped-clamped beam. Recently i noticed that formulation given in every book about dynamics (Timoshenko, for example) isn't valid for higher modes for any beam that isn't pinned on both ends.

Co-rotational formulation for trusses

Submitted by bruno-page on

Hi, I have been reading a chapter on Co-rotational Formulation for trusses in Non-Linear Finite Element Analysis. And, I am here with a question which a very basic question concerning linear analysis. 

Now, a co-rotational formulation for trusses (say) separates the rigid motion from the motion of the truss and what remains is strain causing the deformation of the truss element. My basic question is, that, while doing linear analysis, is it that, the displacements which we obtain in case of trusses or even beams include rigid body motion as well? 

Force Matrix for Transient Thermal Analysis

Submitted by shrimad on
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Hi,



I have developed a 2D transient thermal analysis FE code which doesn't
seem to be correct. I am sure there is a conceptual problem in the
formulation itself which I have not been able to understand and could
not find concrete information in books.



I am putting up the question in a very simplified form so as to address the correctness of the formulation.



Let's say we have a square of unit length with 4 nodes at each corner
(Q4 element). Initial temperatures are specified as 100 for all nodes

Nonlinear Buckling of Cylindrical Tubes w/ ANSYS

Submitted by canavarr on
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Hi all,

I'm trying to run a nonlinear (elastic for now) buckling analysis in ANSYS. Basically I have a thin cylindrical shell (made up of SHELL181). fixed at one end (rigid) and applied force and/or displacement specified on the other end to make it buckle.

I have pretty much tried all options. These were:

i) Linear buckling (Eigenbuckling)

ii) Displacement controlled buckling with a lateral point force to provide eccentricity/imperfection.

iii)Force controlled buckling with, again, a lateral point force (arc-length method)

Newton Raphson question-convergence,etc

Submitted by bruno-page on

Hi All,

I'm programming non linear finite element analyis of a shallow truss element using Newton raphson's methd.I'm referring the book by Crisfield in the context.

Can anyone have a look at the file N-R for Peyman wherein I've clearly described my question and comment?

Also attached is the extract from Crisfield's book in the file chapter 2 derivation.pdf.

plz help

with regards,

kajal,bruno

Multiscale Modelling of Solids- Introductory Literature

Submitted by Mubeen on
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I am looking for introductory-level papers/texts on multiscale modelling of solids. Please suggest some titles which give introduction alongwith a summary about the latest advances in this field. I will be thankful for your suggestions.

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[Abaqus] User subroutine - Current values, values at the beginning and end of the increment, ...

Submitted by alorenzom on

Dear All,

I have some very basic questions for you.

We can read in Abq doc, at the pages of HETVAL User Subroutine:

<cite>

TEMP(1)

Current temperature.

TEMP(2)

Temperature increment.

TIME(1)

Step time at the end of the increment.

TIME(2)

Problem physics- shallow truss element-Non linear FEM

Submitted by bruno-page on

I have got a shallow truss element-same as in Crisfield’s book.

I have a truss configuration as in the attached file (simple 1 member as in Crisfield as Bathe) . I have a load W = 42 units applied (the force causes compression in the member).I have used incremental approach wherein the laod is applied in 6 increments of 7 units each.