Eigensolutions of joined/hermetic shell structures using the state space method

摘要: Abstract A substructure synthesis method based on state space mathematics is proposed for the eigensolution of axisymmetric joined/hermetic thin shell structures. In (SSM), a system eight coupled first order differential equations solved each using Pade approximation matrix exponentiation. The substructures are then joined by matching all displacement and force boundary variables. allows space-invariant (e.g., uniform cylinder) to be treated as continuum. Further, space-variant cone) assumed piecewise continuum which one still use method. SSM validated applying it structural elements such cylinder, cone, sphere, toroidal segment, comparing predicted natural frequencies with well-known theoretical solutions. strength from viewpoint demonstrated analyzing several structures including hermetic capsule refrigeration compressor shell. examples, finite element (FEM) predictions used support results. For shell, results compare well limited experimental data.