In the present realm of Mathematics most beautiful and Exciting thing is infinitive, convergence series. When Ramanuzan was young he plays with series make new . this paper I have introduced an point view convergency pie We will first prove 2 basic theoremas using fourier analysis then we sum up find value .And after that put it in a totally different Finally be finished by open question Those ...

in the present study, vibration of cylindrical laminates with different layers and angles were studied. in order to actuate and polarize in radial direction, a piezoelectric layer was located at outer surface of composite shell. laminates were assumed long enough so that plane strain state analysis in 2d can be used properly. in order to satisfy the boundary conditions, variables in terms of fo...