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Keywords: Galerkin method
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Journal Articles
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. March 2012, 134(2): 021017.
Published Online: January 12, 2012
... the representation’s scope of applicability. Future work will investigate generating stochastic terrain surfaces with these vectors. 08 07 2010 27 07 2011 04 08 2011 12 01 2012 12 01 2012 Galerkin method Hilbert spaces matrix algebra measurement systems polynomials vehicle...
Journal Articles
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. January 2012, 134(1): 011017.
Published Online: December 5, 2011
... of the squeeze-film damping. 26 02 2010 08 06 2011 05 12 2011 05 12 2011 beams (structures) clamps damping finite difference methods finite element analysis Galerkin method impact (mechanical) micromechanical devices MEMS squeeze film damping nonlinear mechanics...
Journal Articles
Article Type: Modeling For Control
J. Dyn. Sys., Meas., Control. November 2010, 132(6): 061304.
Published Online: October 29, 2010
... to be of the following form: A1 x ̇ ( ξ , t ) = A ( ξ ) x ( ξ , t ) + B u ( ξ ) u ( ξ , t ) + B w ( ξ , t ) w ( t ) 18 09 2008 29 08 2010 29 10 2010 29 10 2010 chaos control system synthesis Galerkin method...
Journal Articles
Article Type: Research Papers
J. Dyn. Sys., Meas., Control. July 2009, 131(4): 041006.
Published Online: May 18, 2009
... through base excitation and two piezoelectric elements are attached to the beam for vibration control purposes. The distributed-parameter model for the beam-element system is discretized by using Galerkin’s method, and time histories of the system’s response describe the controller’s attenuation...
Journal Articles
Article Type: Technical Papers
J. Dyn. Sys., Meas., Control. June 2004, 126(2): 388–396.
Published Online: August 5, 2004
... and Control Division January 3, 2003; final revision, September 22, 2003. Associate Editor: C. D. Rahn. 03 January 2003 22 September 2003 05 08 2004 closed loop systems deformation distributed parameter systems compliance control Galerkin method fasteners transfer functions...
Journal Articles
Article Type: Technical Papers
J. Dyn. Sys., Meas., Control. March 2005, 127(1): 80–87.
Published Online: March 27, 2004
... Equation 12 by numerical simulation of ODEs: same parameters as in Fig. 11 , N = 15 differential equations delay-differential systems delay estimation Galerkin method numerical analysis Delay differential equations (DDEs) have applications in manufacturing processes...
Journal Articles
Article Type: Technical Papers
J. Dyn. Sys., Meas., Control. March 2003, 125(1): 1–10.
Published Online: March 10, 2003
... differential equations by means of the Karhunen-Loe`ve Galerkin procedure which is a type of Galerkin method employing the empirical eigenfunctions of the Karhunen-Loe`ve decomposition. Employing the Kalman filter constructed by using the reduced order model, the thermal convection induced by a spatially...
Journal Articles
Article Type: Technical Papers
J. Dyn. Sys., Meas., Control. September 2000, 122(3): 435–444.
Published Online: November 18, 1998
... of the system is a square with a quarter removed to make it nonseparable. For nonseparable domains like this one, it is impossible to obtain analytic eigenfunctions, thus making the traditional Galerkin methods not applicable. But the Karhunen–Loe`ve Galerkin procedure can be applied efficiently to this kind...