... ̇ ) + Q q where, J ( q ) is the mass matrix, C ( q , q ̇ ) are the nonlinear forces, and Q q is the generalized force. deformation flexible structures momentum numerical analysis recursive functions 16 09 2008 02 03 2010 29 06...

... by reducing the flexible degrees of freedom of a rack used for active vibration damping of a scanning tunneling microscope. 15 01 2009 12 05 2009 14 05 2010 14 05 2010 damping eigenvalues and eigenfunctions flexible structures matrix algebra reduced order systems scanning...

.... differential algebraic equations finite element analysis flexible structures integration mechanical engineering 16 03 2009 27 08 2009 14 05 2010 14 05 2010 We make use of the rotationless formulation of multibody dynamics outlined in Sec. 2 . A detailed description...

... of the Boston GP-178 grand piano considered in this work is shown in Fig. 1 . flexible structures hammers (machines) machine components musical instruments 25 03 2007 03 09 2007 30 04 2008 This paper presents a state-of-the-art dynamic model of a grand piano action...

... of the cross section and other modes of deformations such as bending and they lead to a new set of modes referred to in this paper as the ANCF-coupled deformation modes. The effect of the ANCF-coupled deformation modes can be significant in the case of very flexible structures. In this investigation, three...

... P k + and u k + used here span the full six degrees-of-freedom of handle k + in N , V t k + is identically zero. 18 07 2005 01 08 2006 flexible structures dynamics nonlinear equations deformation trees (mathematics) divide...

... benchmark MSC.ADAMS runs. The proposed HHT-based algorithm has been released in the 2005 version of the MSC.ADAMS/Solver. 01 04 2006 05 07 2006 differential algebraic equations impact (mechanical) mechanical contact flexible structures Jacobian matrices nonlinear systems integration...

... the strain energy of the shaft ( 1 ). 08 07 2005 28 03 2006 rotors nonlinear dynamical systems Rayleigh-Ritz methods flexible structures Many industrial applications contain rotor dynamic systems. They have been extensively studied in the case of fixed bases (meaning fixed...

... system analysis and nonlinear dynamics approaches are discussed. Also, applications from vehicles, manufacturing science and molecular dynamics are shown. 03 05 2005 24 05 2005 vibrations flexible structures many-body problems nonlinear dynamical systems linear systems classical...

... computer-aided numerical methods. One can find a wide review of various approaches in the literature ( 1 ). deformation many-body problems flexible structures plastic deformation finite element analysis elastoplasticity 14 04 2005 21 05 2005 The mid-plane deformations...

...Steven W. Shaw; Christophe Pierre This paper describes an analytical investigation of the dynamic response and performance of impact vibration absorbers fitted to flexible structures that are attached to a rotating hub. This work was motivated by experimental studies at NASA, which demonstrated...