Disk-drum structures jointed by bolted flanges(DDSJBFs)are core parts in aircraft engines,whose dynamic responses affect structural overall safety and service performance.However,studies on the dynamic response of DDS...Disk-drum structures jointed by bolted flanges(DDSJBFs)are core parts in aircraft engines,whose dynamic responses affect structural overall safety and service performance.However,studies on the dynamic response of DDSJBFs under base excitation are not found in available literature.In the present work,the dynamic responses for DDSJBFs subjected to base excitation are investigated both theoretically and experimentally.The kinetic energy and potential energy of disk,drum,and flange are derived according to the Kirchhoff plate,the Sanders’shell,and the Euler-Bernoulli beam theories,respectively,where the influences of flange and the mass of bolt are taken into account.The artificial spring method is applied to model the bolted joint.The Chebyshev orthogonal polynomials are adopted as the admissible functions of disk and drum,and the Lagrange equations are used to obtain the motion equation.The motion equation is solved by using the Newmark-beta approach and the dynamic responses under base excitation are acquired.A series of experiment studies are conducted on a DDSJBF to demonstrate the correctness of established theoretical model.Finally,study results show that because the relative motion between bolted flange joint interfaces generates friction damping,increasing the excitation amplitude causes the increase of damping ratio of DDSJBFs on the whole,and the increase of resonant peak value exhibits a slowing trend.The above phenomenon becomes more evident when the number of bolt is less.With the increase of bolt mass and flange size,the resonant frequency significantly decreases,while the resonant peak value remains unchanged.展开更多
This study investigates the vibration characteristics of bolted-flange-joined conical-cylindrical shells(BFJCCSs)through both theoretical analysis and experimental testing.The proposed model incorporates the pressure ...This study investigates the vibration characteristics of bolted-flange-joined conical-cylindrical shells(BFJCCSs)through both theoretical analysis and experimental testing.The proposed model incorporates the pressure distribution within the bolted joint and accounts for the flange effect.The energy expressions for the conical and cylindrical shells are derived from Donnell's shell theory,while those for the flanges are obtained from the Euler-Bernoulli beam theory.The Lagrange equation is used to derive the dynamic equation,and the experimental studies on the BFJCCS are conducted to validate the accuracy of the model.Subsequently,the comprehensive effects of bolt loosening and bolt number on the frequency parameters are analyzed.Additionally,the effects of the flange dimensions and cone angle on the vibration behavior of the BFJCCS are discussed.In particular,the dynamic differences between the welded conical-cylindrical shell(WCCS)and BFJCCS are investigated.It is found that compared with the WCCS,the fundamental frequency of the BFJCCS is reduced by 7.6%,and the corresponding modal damping ratio is reduced by 21.0%.However,the high-order frequencies of the BFJCCS are higher than those of the WCCS,accompanied by a higher modal damping ratio.Compared with the bolt loosening degree,the bolt number has a more significant effect on frequencies.As the bolt number decreases,the impact of the bolt loosening degree diminishes gradually.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.12272088)the Outstanding Youth Science Foundation of Liaoning Province(Grant No.2024JH3/50100013).
文摘Disk-drum structures jointed by bolted flanges(DDSJBFs)are core parts in aircraft engines,whose dynamic responses affect structural overall safety and service performance.However,studies on the dynamic response of DDSJBFs under base excitation are not found in available literature.In the present work,the dynamic responses for DDSJBFs subjected to base excitation are investigated both theoretically and experimentally.The kinetic energy and potential energy of disk,drum,and flange are derived according to the Kirchhoff plate,the Sanders’shell,and the Euler-Bernoulli beam theories,respectively,where the influences of flange and the mass of bolt are taken into account.The artificial spring method is applied to model the bolted joint.The Chebyshev orthogonal polynomials are adopted as the admissible functions of disk and drum,and the Lagrange equations are used to obtain the motion equation.The motion equation is solved by using the Newmark-beta approach and the dynamic responses under base excitation are acquired.A series of experiment studies are conducted on a DDSJBF to demonstrate the correctness of established theoretical model.Finally,study results show that because the relative motion between bolted flange joint interfaces generates friction damping,increasing the excitation amplitude causes the increase of damping ratio of DDSJBFs on the whole,and the increase of resonant peak value exhibits a slowing trend.The above phenomenon becomes more evident when the number of bolt is less.With the increase of bolt mass and flange size,the resonant frequency significantly decreases,while the resonant peak value remains unchanged.
基金supported by the National Natural Science Foundation of China(No.12272088)the Out-standing Youth Science Foundation of Liaoning Province of China(No.2024JH3/50100013)。
文摘This study investigates the vibration characteristics of bolted-flange-joined conical-cylindrical shells(BFJCCSs)through both theoretical analysis and experimental testing.The proposed model incorporates the pressure distribution within the bolted joint and accounts for the flange effect.The energy expressions for the conical and cylindrical shells are derived from Donnell's shell theory,while those for the flanges are obtained from the Euler-Bernoulli beam theory.The Lagrange equation is used to derive the dynamic equation,and the experimental studies on the BFJCCS are conducted to validate the accuracy of the model.Subsequently,the comprehensive effects of bolt loosening and bolt number on the frequency parameters are analyzed.Additionally,the effects of the flange dimensions and cone angle on the vibration behavior of the BFJCCS are discussed.In particular,the dynamic differences between the welded conical-cylindrical shell(WCCS)and BFJCCS are investigated.It is found that compared with the WCCS,the fundamental frequency of the BFJCCS is reduced by 7.6%,and the corresponding modal damping ratio is reduced by 21.0%.However,the high-order frequencies of the BFJCCS are higher than those of the WCCS,accompanied by a higher modal damping ratio.Compared with the bolt loosening degree,the bolt number has a more significant effect on frequencies.As the bolt number decreases,the impact of the bolt loosening degree diminishes gradually.
