36 pages matching natural frequencies in this book
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alloy analysis analytical applied ASME ASME Journal assessment axial behavior bending boiler buckling calculated cavitation circumferential components crack growth creep damage curve cylinder damping deformation determined developed displacement DMWs dynamic effect elastic Engineering EPRI equation evaluation experimental failure fatigue finite element finite element method flaw flow velocity fluid force fracture mechanics fracture toughness function geometry heat hoop stress instability internal pressure Journal of Pressure LMFBR Manuscript received material matrix maximum measured metal method mode shape natural frequencies nonlinear Nuclear obtained operating paper parameters percent Piping Division piping system plane strain plastic plate Poisson's ratio predicted presented Pressure Vessel Technology problem procedure radial ratio reactor residual stress response spectrum rupture seismic loading shear shell shown in Fig snubbers solution specimens strain stress intensity factor structural technique temperature tensile thermal values valve Vessels and Piping vibration weld weldment