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resonance (natural) frequency of a cantilever beam

Submitted by Somashekara Bhat on
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resonance (natural) frequency of a cantilever beam is given by

f=[kn/2pi][sqrt(EI/wL^4)] where, kn=3.52 for mode 1, E is Young's modulus, I is moment of Inertia, w is beam width, L is beam length. (this is from Formulas for Stress and Strain, 5th edition by Raymond J. Roark and Warren C. Young).

 I would like to derive this formula. Can any one suugest me any book or any link?  

Fracture Simulation Using Discrete Lattice Models

Submitted by Anup S on
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I am trying to implement quasi static fracture in a discrete lattice model, with material being viscoelastic. Do i need to use an incremental-iterative method? Please give your suggestions.

Deformation of Halfring

Submitted by Sasa Medved on

I work in gas turbine business and I noticed following phenomena so I would like someone helps me to understand.

I noticed that component made as full ring remains circular after load with outer pressure and temperature gradient (Figure 1) and component made as connection of 2 halfrings (Figure 2) deforms as on Figure 3.

velocity potential for a rate formulation

Submitted by Alessio on
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I have a question making me no sleep. In the elastic theory we have a separable Lagrangian L = T(v) + W(u) since we can write the internal elastic energy as a function of displacements. What happens if we use a rate form for the strain and the stress? Can we write the potential energy in terms of just velocities? If that is the case the stationary path of the Lagrangian reduces to:

 d/dt (dT/dv - dW/dv)  = 0

XFEM: crack tip function derivatives

Submitted by Stefano Dal Pont on

Hi,

I am using a X-FEM Matlab code found here http://people.civil.gla.ac.uk/~bordas/xfemMatlab.html"]http://people.civil.gla.ac.uk/~bordas/xfemMatlab.html

In branch.m/branch_node.m (both functions of radius r and angle theta) crack tip fields are defined...and questions arise.

% Functions



f(1) = r2 * st2 ;

f(2) = r2 * ct2;

f(3) = r2 * st2 * ct;

f(4) = r2 * ct2 * ct;

Interaction integral for Homogeneous materials

Submitted by S.saeidifar on

Dear Members I am working in the area of Fracture Mechanics and natural element method.Currently i am trying to calculate Stress Intensity factor of cracked Homogeneous plate.I wanted to use Interaction Integral Method to seperate Complex stress intensity factor.I need auxiliary state formulas for Homogeneous materials.Please if it is possible send me an article with formulas.

LaTeX and XML

Submitted by Ajit R. Jadhav on
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Hello,

Most of us use LaTeX + BibTeX for writing papers and research reports. Personally, I use MS Word for other document types but not for research papers and reports---even if I mostly use Windows. In case it matters: I use MikTeX v. 2.4 as the main TeX technology platform; TeXnicCenter v. 1 Beta 6.21 or Texmaker v. 1.5 for editing; and JabRef v. 2.2 for the management of the BibTeX database, all on Win2K Pro.