Recent content by athanatos

well said Ramsey, From personal experience as a cab driver in the 80's, the socialism and welfare absolutley destroyed my city. Nominally I worked for a cab company, but practically I worked for the Gov. The whole economy flowed with the welfare checks. That first Friday the checks came in...

OK, thanks. Yes regarding \lambda^{4} , that is a question! Typically, I do know one gets the so called "frequency" equation when pde allows closed form solution, and solves it numerically, and gets the natural frequencies, which can then be substituted back into the solution to the space...

thanks for your reply, addressing your notes; [1] Yes, those are the boundary conditions [2] Initial conditions, well, not sure I can say anything too coherent on those, but will try...Basically, need to find the first few natural frequencies and mode shapes, so would want to solve...

Thanks, well, it's a beam equation, so know the boundary conditions, it's clamped at one end, free at the other. p(x)\frac{\partial^2w(x,t)}{\partial x^2}-a\frac{\partial^4 w(x,t)}{\partial x^4}-b\frac{\partial^2 w(x,t)}{\partial t^2}=0 ...yes, already have the solution for the problem...

yep, let me try it now; p(x)\frac{\partial^2w(x,t)}{\partial x^2}-a\frac{\partial^4 w(x,t)}{\partial x^4}-b\frac{\partial^2 w(x,t)}{\partial t^2}=0 It's basically the beam equation for transverse vibration, with the additional p(x) term corresponding to the centripudal force due to...

need to solve the following beam equation: p(x)\frac{d^2\w}{dx^2}-a\frac{d^4\w}{dx^4}-b\frac{d^2\w}{dt^2}=0 don't have experience with pde's, thanks in advance for any hints...