Analytical model of bolted disk–drum joints and its application to dynamic analysis of jointed rotor

Bolted joints are widely used in aero-engines. One of the common applications is to connect the rotor disks and drums. An analytical model for the bending stiffness of the bolted disk–drum joints is developed. The joint stiffness calculated using the analytical model shows sound agreement with the calculation obtained based on finite element analyses. The joint stiffness model is then implemented into the dynamic model of a simple rotor connected through the bolted disk–drum joint. Finally, the whirling characteristics and steady-state response of the jointed rotor are investigated to evaluate the influence of the joint on the rotor dynamics, where the harmonic balance method is employed to calculate the steady-state response to unbalance force. The simulation results show that the joint influence on the whirling characteristics of the rotor system can be neglected; whereas, the presence of the bolted disk–drum joint may lead to a decrease in the rotor critical speeds due to the softening of the joint stiffness. The proposed analytical model for the bolted disk–drum joints can be adopted conveniently for different types of rotor systems connected by bolted disk–drum joints.

[1]  Y. Songa,et al.  Simulation of dynamics of beam structures with bolted joints using adjusted Iwan beam elements , 2004 .

[2]  D. Ewins,et al.  The Harmonic Balance Method with arc-length continuation in rotor/stator contact problems , 2001 .

[3]  J. Sinou,et al.  An adaptive harmonic balance method for predicting the nonlinear dynamic responses of mechanical systems—Application to bolted structures , 2010 .

[4]  Jean-Jacques Sinou,et al.  A new treatment for predicting the self-excited vibrations of nonlinear systems with frictional interfaces: The Constrained Harmonic Balance Method, with application to disc brake squeal , 2009 .

[5]  Mitsuru Endo,et al.  Vibration Analysis of Rotating Cylindrical Shells Based on the Timoshenko Beam Theory , 1986 .

[6]  Mikhail Guskov,et al.  Multi-dimensional harmonic balance applied to rotor dynamics , 2008 .

[7]  Youngbae Kim,et al.  A MULTIPLE HARMONIC BALANCE METHOD FOR THE INTERNAL RESONANT VIBRATION OF A NON-LINEAR JEFFCOTT ROTOR , 1997 .

[8]  Rajendra Singh,et al.  Super- and sub-harmonic response calculations for a torsional system with clearance nonlinearity using the harmonic balance method , 2005 .

[9]  J.E.T. Penny,et al.  The dynamics of bolted and laminated rotors , 2000 .

[10]  N. Klompas.  Effects of Anomalous Rotor Joints on Turbomachine Dynamics , 1983 .

[11]  S. Timoshenko,et al.  THEORY OF PLATES AND SHELLS , 1959 .

[12]  Earl H. Dowell,et al.  Multi-Harmonic Analysis of Dry Friction Damped Systems Using an Incremental Harmonic Balance Method , 1985 .

[13]  Jeong Kim,et al.  Finite element analysis and modeling of structure with bolted joints , 2007 .

[14]  L. Gaul,et al.  Nonlinear dynamics of structures assembled by bolted joints , 1997 .

[15]  Yu Luan,et al.  A simplified nonlinear dynamic model for the analysis of pipe structures with bolted flange joints , 2012 .

[16]  W. J. Koves.  Analysis of Flange Joints Under External Loads , 1996 .

[17]  F. H. Ling,et al.  An Alternating Frequency/Time Domain Method for Calculating the Steady-State Response of Nonlinear Dynamic Systems , 2007 .

[18]  Seamus D. Garvey,et al.  Dynamics of Rotating Machines , 2010 .

[19]  W. K. Chen,et al.  Investigation of the Vibration of a Blade With Friction Damper by HBM , 1992 .

[20]  Robert P. Czachor.  Unique Challenges for Bolted Joint Design in High-Bypass Turbofan Engines , 2005 .

[21]  John E. Mottershead,et al.  Experimental and theoretical studies of a bolted joint excited by a torsional dynamic load , 2006 .

[22]  Mikhail Guskov,et al.  Multi-Dimensional Harmonic Balance Applied to Rotor Dynamics , 2008 .

[23]  Hong Jie,et al.  Studies on dynamic characteristics of the joint in the aero-engine rotor system , 2012 .

[24]  Yu.V. Trotsenko.  Frequencies and modes of vibration of a cylindrical shell with attached rigid body , 2006 .