vibration analysis of frame

• Main Authors: Chia-Ching Wu, 吳嘉慶
• Other Authors: Bor-Tsung Hsiao
• Format: Others
• Language: zh-TW
• Published: 2002
• Online Access: http://ndltd.ncl.edu.tw/handle/20042230530183313409

碩士 === 國立中興大學 === 土木工程學系 === 90 === ABSTRACT In the study of dynamic structures , it is necessary to prevent resonant phenomenon to occur . This thesis is devoted to the dynamic analysis of mult-span frame . Initially we can establish equations of motion by classical dynamic equilibrium method to a uniform beam . Then , by using direct stiffness method to derive the dynamic stiffness matrix of the beam . Afterword we combined each beam stiffness matrix accord -ing to boundary conditions and force equilibrums to derive the dynamic stiffness matrix of frame . After finding the dynamic stiffness matrix of frame , then we can obtain the natural frequencies of frame . Two sets of beam theories are applied to derive motion equations of beam . The first set of equations is obtained on the basis of Bernoulli - Euler beam theory . The other set of equations is established on a Timoshenko beam theory inclouding axially compression force . Finally , a two-span frame taking as an example . With different cross - sectional shapes K , lengths of beam L , slenderness ratios 1/r , cross - sectional areas A , depths of beam H and axial loads N to analysis the possible influence of vibration of frame .