... 2 = 0 Its root is η = 1 . 28 03 2011 25 08 2011 13 12 2011 13 12 2011 beams (structures) buckling cantilevers elasticity mechanical stability nanocomposites nanofibres rods (structures) shear modulus Fiber reinforced composites [( 1 2 3...

... the focus has long been on avoiding instability. More recently, microsystems applications for these beam structures have emerged that demand designers exploit advantageous multistable behavior [( 6 ), 7 , 11 , 17 , 21 ]. Efficient prediction of the complete post-buckling response is of paramount importance...

... - k 2 2 ) ] 07 07 2010 21 06 2011 14 11 2011 13 07 2011 beams (structures) elastic waves energy gap periodic structures wave propagation periodic structure Bloch theorem unit cell Timoshenko beam theory Bragg scattering local resonance...

...C. Liu; R. K. N. D. Rajapakse; A. Srikantha Phani 21 04 2011 19 05 2011 14 11 2011 11 07 2011 14 11 2011 beams (structures) finite element analysis surface energy (1) Page 031014-9, in Table IV the solution corresponding to Wang et al. should be ( 8...

... Mouring , S. E. , Louca , L. , and Levis , W. , 2005 , “ Structural Response of Impact-Damaged Composite Panels ,” Proceedings of MTS/IEEE OCEANS 2005, 2 , pp. 1370 – 1373 . 08 02 2010 06 07 2011 07 07 2011 25 08 2011 25 08 2011 beams (structures...

... and other nanoscale devices. 27 02 2010 28 12 2010 05 01 2011 16 02 2011 16 02 2011 beams (structures) deformation elasticity finite element analysis nanoelectromechanical devices surface energy beams finite element method nanotechnology surface elasticity...

... and elucidating pathways for their application to more general problems. 12 10 2010 08 12 2010 13 12 2010 15 02 2011 15 02 2011 beams (structures) partial differential equations Beams are structural members with one dimension much larger than the other two. Examples...

... Technique for the Sixth-Order Differential Equilibrium Equations ,” Proceeding of Chinese Conference of Theoretical and Applied Mechanics—2007 , Beijing, China, Paper No. 13-136. 04 09 2009 18 09 2010 21 09 2010 20 12 2010 20 12 2010 beams (structures) bending...

... of slender beams; no differences have been observed in the effective term sets. Accuracy of the solution for different reduced kinematics model in the case of airfoil-shaped cross section 23 06 2009 15 07 2010 10 11 2010 10 11 2010 beams (structures...

... ̃ ] + c x ̇ [ N e ̃ ] T [ N e ̃ ] x The superscript T in the above equations denotes the matrix transpose. The matrices [ M ] and [ K ] , respectively, denote the mass and stiffness matrices of the beam structure. Furthermore...

... , S. H. A. , 2008 , “ Numerical Simulation of Composite Plates to be Used for Optimization of Mobile Bridge Deck ,” World Applied Science Journal 1818-4952 , 4 , pp. 681 – 690 . 05 09 2009 11 04 2010 30 06 2010 26 10 2010 26 10 2010 beams (structures...

... 2010 05 08 2010 12 08 2010 13 10 2010 13 10 2010 beams (structures) bending continuum mechanics numerical analysis polymers porous materials sandwich structures steel The reduction of mass and vibrations in car design suggest using laminated structure...

... that the determined stiffness matrix is exact and that any type of beam can be analyzed by this method. 25 09 2008 12 06 2010 17 06 2010 20 08 2010 20 08 2010 beams (structures) bending elastic constants finite element analysis shear deformation curved beam elements exact...

... a means for apportioning loads in coupled continuous systems, as will be shown for the cases of coupled cantilever Timoshenko beams supporting discrete and continuous loads. 29 09 2009 11 03 2010 05 05 2010 17 08 2010 17 08 2010 beams (structures) The work...

... 02 2009 16 10 2009 09 04 2010 beams (structures) continuum mechanics finite element analysis micromechanical devices reduced order systems Modern treatment of differential equations relies heavily on approximation methods to solve problems of practical interest in macro...

... des Sciences de Paris, France. Germain , P. , 1973 , Cours de mécanique des milieux continus , Masson , Paris . Lions , J. -L. , and Magenes , E. , 1970 , Problèmes aux limites non homogènes et applications , Dunod , Paris . beams (structures) elasticity...

... is derived and also in the assumptions made about some parameters of the material. 10 02 2009 17 07 2009 04 02 2010 04 02 2010 beams (structures) bending ductility hardening stress-strain relations The continuum damage mechanics (CDM) is a new approach through which...

... on the basis of the Engesser hypothesis. 22 12 2008 23 02 2009 04 02 2010 04 02 2010 beams (structures) bending buckling sandwich structures shear deformation structural engineering stability Engesser theory Haringx theory shear-weak member shear deformation...

... the differential equations of motion satisfied by the attached circular beam. Natural frequencies and mode shapes are found, which can be used to synthesize the response of the ring-sphere to an external (piezoelectric) force applied to the ring. beams (structures) elasticity Legendre polynomials...

... construction, two such sheets (face sheets) are bonded to a core slab of different (light) material. Both the core and the face sheets can be isotropic or anisotropic. beams (structures) boundary-value problems buckling compressibility differential equations eigenvalues and eigenfunctions...