A coupled dynamic loads analysis of satellites with an enhanced Craig-Bampton approach

Abstract In this work, we conducted a coupled dynamic loads analysis (CDLA) of satellites with an enhanced Craig–Bampton (ECB) approach to predict maximum response (acceleration, displacement, and stress). The satellite was subjected to a relatively high frequency launch vehicle (LV) interface load ( 20 – 50 Hz) when it was launched by multiple satellite launcher or experienced the combustion instability caused by LV instead of a typical low frequency LV interface load ( 0 – 10 Hz). To minimize the error caused by mode truncation, ECB-like formulation, which considers the effect of residual modes, is employed and computes the maximum response of the given dynamic system. By using this method, we found that the response by the ECB model is more accurate and efficient over the classical Craig–Bampton (CB) model due to the enhanced transformation matrix from being subjected to an unexpected high frequency LV load. To demonstrate this performance, we solved several benchmark problems associated with CDLA.

[1]  Jin-Gyun Kim,et al.  A MODE SELECTION ALGORITHM FOR THE FLEXIBILITY-BASED COMPONENT MODE SYNTHESIS , 2015 .

[2]  E. J. Gunter,et al.  A Study of the Modal Truncation Error in the Component Mode Analysis of a Dual-Rotor System , 1982 .

[3]  Matthew S. Allen,et al.  Metrics for Diagnosing Negative Mass and Stiffness when Uncoupling Experimental and Analytical Substructures , 2012 .

[4]  Jin-Gyun Kim,et al.  An enhanced AMLS method and its performance , 2015 .

[5]  Sebastiaan Fransen,et al.  Methodologies for launcher–payload coupled dynamic analysis , 2012 .

[6]  John E. Mottershead,et al.  Finite Element Model Updating in Structural Dynamics , 1995 .

[7]  Yong-hwa Park,et al.  Partitioned Component Mode Synthesis via a Flexibility Approach , 2004 .

[8]  Matthew S. Allen,et al.  Experimental modal substructuring to couple and uncouple substructures with flexible fixtures and multi-point connections , 2010 .

[9]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[10]  Daniel C. Kammer,et al.  Correcting indefinite mass matrices due to substructure uncoupling , 2013 .

[11]  Curtis E. Larsen NASA Experience with Pogo in Human Spaceflight Vehicles , 2008 .

[12]  Jae Hyuk Lim,et al.  A correlation study of satellite finite element model for coupled load analysis using transmissibility with modified correlation measures , 2014 .

[13]  W. Hurty Dynamic Analysis of Structural Systems Using Component Modes , 1965 .

[14]  R. Macneal A hybrid method of component mode synthesis , 1971 .

[15]  Linda Simo Mthembu,et al.  FINITE ELEMENT MODEL UPDATING , 2013 .

[16]  Matthew S. Allen,et al.  Formulation of an experimental substructure model using a Craig–Bampton based transmission simulator , 2015 .

[17]  Jin-Gyun Kim,et al.  Evaluating Mode Selection Methods for Component Mode Synthesis , 2016 .

[18]  M. J. Wittbrodt,et al.  A critique of mode acceleration and modal truncation augmentation methods for modal response analysis , 1997 .

[19]  Damijan Markovic,et al.  High-Fidelity Flexibility-Based Component Mode Synthesis Method with Interface Degrees of Freedom Reduction , 2016 .

[20]  Jin-Gyun Kim,et al.  An enhanced Craig–Bampton method , 2015 .

[21]  Jae Hyuk Lim,et al.  Improving the reliability of the frequency response function through semi-direct finite element model updating , 2016 .

[22]  Richard B. Lehoucq,et al.  An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics , 2004, SIAM J. Sci. Comput..