... elasticity series (mathematics) springs (mechanical) vibrations Frequency analysis of combined dynamical systems consisting of beams carrying lumped attachments has been studied extensively over the years. Commonly used analytical approaches include the assumed modes method ( 1 2 ), the Lagrange...

... detection acoustic measurement ultrasonic materials testing Chebyshev approximation elastic constants series (mathematics) inverse problems singular value decomposition Damage generally produces changes in the structural physical properties (i.e., stiffness, mass, and damping...

... vibrations series (mathematics) eigenvalues and eigenfunctions finite element analysis convergence of numerical methods The combined effects of gyroscopic coupling, support elements that may add nonconservative effects, and flexible support substructures contribute to the difficulty of accurately...

.... T. Flowers 01 May 2000 01 July 2001 fault tolerance series (mathematics) rotors vibrations The reliability analysis of uncertain rotor systems with rubbing is important for design purposes. Reliability analysis can help the designer to establish acceptable tolerances...

... transmission vibrations damping laminates series (mathematics) numerical analysis Sandwich structures have been studied extensively in the past few decades 1 2 3 4 . They are an important class of composite structures and are used in aerospace, automobile and civil applications. One...

... for publication in the JOURNAL OF VIBRATION AND ACOUSTICS . Manuscript received Jan. 1999. Associate Technical Editor: B. Yang. 01 Jan 1999 distributed parameter systems oscillators series (mathematics) Green's function methods boundary-value problems The problem of calculation...