... is required within relatively small workspaces. bending hinges matrix algebra stress analysis 24 06 2010 14 06 2011 15 06 2011 27 07 2011 27 07 2011 Experimentation was used to verify the compliance factor α z / M z . Three flexure hinge samples were...

.... 29 07 2010 06 05 2011 21 06 2011 21 06 2011 convex programming design engineering matrix algebra vibrations modal optimization structural modification vibrating system design inverse eigenvalue problem convex optimization The application of inverse...

... variation of the metamorphic parallel mechanism is addressed and the foldability is verified by physical device. 18 09 2009 20 09 2010 23 11 2010 23 11 2010 fasteners geometry matrix algebra robot kinematics topology Robots with capability that can reconfigure...

... graphs matrix algebra product design product life cycle management The manufacturing environment has changed at a rapid rate during the past few years. Worldwide competition among manufacturers and the development of new manufacturing technologies have contributed in today’s competitive...

... 12 12 2009 27 04 2010 28 05 2010 28 05 2010 design engineering matrix algebra nonlinear systems robust design Euclidean norm design nonlinear system uncontrollable variation variable sensitivity Robust performance is one of the most important concerns...

... partitioning approach that uses an enumerative approach to search for an optimal solution. At the end, the relief valve redesign example is applied to illustrate and justify the newly developed method components. 21 08 2009 04 03 2010 20 05 2010 20 05 2010 design matrix algebra...

... 22 03 2010 design hydraulic systems matrix algebra Examples of basic transformation units Basic transformation units can be divided into two categories. A component in category I provides a transformation between different hydraulic energy characteristic states, such as Figs...

... stiffness. 02 04 2009 05 12 2009 01 03 2010 01 03 2010 electric motors machine tool spindles matrix algebra rolling bearings rotors shafts vibrations motorized spindle rotor dynamic transfer matrix method rolling bearing analysis theory The spindle system...

... 2.6277 2.7187 2.7981 2.9195 3.0274 3.3234 3.3951 18 03 2008 07 01 2009 20 03 2009 eigenvalues and eigenfunctions failure analysis matrix algebra reliability theory In the past few decades, the importance of reliability has been well conceived by engineers...

... kinematics matrix algebra kinematics finite displacement analysis screw axis The study of the finite displacements of a rigid body is a topic that has attracted much interest in the field of theoretical kinematics. The evolution of mathematical and kinematic concepts for the analytical...

... mechanisms of up to four KUs can be accomplished much easier. 27 11 2006 13 09 2007 10 07 2008 gears kinematics matrix algebra power transmission (mechanical) Geared mechanisms have been widely used as power transmission and force amplification devices in machines...

.... 30 – 35 . Dai , J. S. , and Zhang , Q. X. , 2000 , “ Metamorphic Mechanisms and Their Configuration Models ,” Chin. J. Mech. Eng. 0577-6686 , 13 ( 3 ), pp. 212 – 218 . 27 07 2007 11 12 2007 20 05 2008 kinematics matrix algebra micromechanical...

... high velocity ratios with less weight. Shown in Fig. 1 is a PGT with sun gear (S), planet gear (P), and gear carrier or arm (A). gears graph theory matrix algebra 24 04 2007 14 09 2007 08 04 2008 2008 American Society of Mechanical Engineers ...

... by using the state transition matrix. Overall, the sliding friction has a marginal effect on the dynamic transmission error of helical gears, as compared with spur gears, in the context of the torsional model. 06 05 2007 17 08 2007 01 04 2008 damping gears matrix algebra...

... extensively other than basic planar methods using complex numbers ( 1 ) and single body spatial descriptors ( 2 ). Three-dimensional kinematics jerk spatial linkages instant screw axis axode acceleration closed loop systems couplings geometry matrix algebra 10 11 2006 03 05...

... of hybrid manipulator are illustrated by the hybrid kinematic machine ( 9 ). Therefore, the synthesis of PMs of 3DOFs has become an important design issue. manipulator kinematics matrix algebra 15 06 2006 01 05 2007 04 02 2008 2008 American Society of Mechanical Engineers ...

... , Chap. 8. 27 02 2006 06 11 2006 couplings kinematics matrix algebra mechanical engineering In kinematic studies of planar mechanical systems, the complex numbers in exponential form, which are expressed according to Euler’s formula as e i θ = cos θ + i...

... chains graph theory matrix algebra isomorphism kinematic chains topological graph isomorphism identification canonical adjacency matrix set Graph theory ( 1 2 ) has been widely adopted for the representation of mechanisms. It is mathematically rigorous, visually intuitive, and easily...

... with any number of gears and degrees of freedom, as illustrated by the numerical examples presented. 24 05 2005 23 01 2006 gears kinematics matrix algebra couplings power transmission (mechanical) angular velocity graph theory The most commonly used method for kinematic...

... and γ is arbitrary but nonzero. The first two basis can be of the form f ̃ 1 = ( a , 0 ) and f ̃ 2 = ( b , 0 ) , where a , b , and d are linearly independent in R 3 . 29 06 2005 19 12 2005 matrix...