I am really finding it difficult to integrate the square of the mode shape function(please see the attachment) with respect to r and theta. Basically I am trying to fidn the modal mass of a clamped edge circular plate whose mode shape function is known (consists Bessel Functions).
modal mass= rho * thickness * integration of (mode shape function)^2 with respect to r and theta
I havespent almost three weeks trying to solve this problem. Still no luck. If someone could really help me with it I would be very grateful. How would I approach this problem??