.../OSA J. Lightwave Techn. , 6 ( 8 ), pp. 1321 – 1327 . 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...

... constant in both direction and magnitude [( 7 )]. This Appendix provides mathematical backing for the solution methodology discussed in Sec. 2.3.1. To reach this end, the equilibrium equations for the initially curved beam structure are manipulated into a polynomial equation that relates a generalized...

.... The analysis presented can be extended to multi-dimensional phononic crystals and acoustic metamaterials. Our findings can be used to guide the design of periodic beam structures in a range of applications ranging from aerospace load-bearing structures to MEMS components used for frequency sensing...

...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...

... reinforcement. This model is also a conservative estimate for the transient test deflection range for all other specimens. 08 02 2010 06 07 2011 07 07 2011 25 08 2011 25 08 2011 beams (structures) bending clay filled polymers glass graphite high-pressure effects...

... low modulus of elasticity leading to a material intrinsic length scale comparable to dimensions of microscale devices. beams finite element method nanotechnology surface elasticity beams (structures) deformation elasticity finite element analysis nanoelectromechanical devices...

... 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...

... that the use of a variational principle based plate theory yielded an unacceptable error for the boundaries with prescribed displacement. Even when the formal asymptotic expansion procedure, a mathematically rigorous method, is used to analyze slender beam structures, it is also very difficult to satisfy...

... ), 117 – 143 . 10.1142/S1758825110000500 Bathe , K. J. , 1996 , Finite Element Procedure , Prentice-Hall , Englewood Cliffs, NJ . 23 06 2009 15 07 2010 10 11 2010 10 11 2010 beams (structures) bending finite element analysis torsion traction...

... frequency and dynamic properties of glulam reinforced composite beams when conducted in nonlinear equation forms. 05 09 2009 11 04 2010 30 06 2010 26 10 2010 26 10 2010 beams (structures) dynamic response dynamics finite element analysis glass fibre reinforced composites...

... ̃ ] 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, [ N e ̃ ] x and [ N e ̃ ] x...

... the sandwich is carried up to failure in bending loading. A range of sandwich structures with different perforated polymer cores were realized and tested in bending up to irreversible damage. beams (structures) bending continuum mechanics numerical analysis polymers porous materials sandwich...

... curved beam element with linear strains and linear curvatures. 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 stiffness matrix...

... component’s stiffness as a fraction of the total stiffness. beams (structures) 29 09 2009 11 03 2010 05 05 2010 17 08 2010 17 08 2010 2010 American Society of Mechanical Engineers ...

... of the clamped-clamped microbeam system for the one-sided electrode configuration 12 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...

... of solving this kind of system. The exact solution is given explicitly in the case of a slender field (beam). beams (structures) elasticity asymptotic developments differential recursive systems Asymptotic expansion methods enable us to build the successive terms of a formal power series...

... on whether we should follow Engesser or Haringx in structural stability studies. stability Engesser theory Haringx theory shear-weak member shear deformation thick-faced sandwich structural engineering beams (structures) bending buckling sandwich structures shear deformation...

... are mainly based on the form of this potential. beams (structures) bending ductility hardening stress-strain relations 10 02 2009 17 07 2009 04 02 2010 04 02 2010 2010 American Society of Mechanical Engineers ...

... 12 2009 14 12 2009 beams (structures) boundary-value problems buckling compressibility differential equations eigenvalues and eigenfunctions elasticity sandwich structures structural panels The compressive strength of thin sheets can be realized only...

... nearly pure beams to nearly pure shells. 22 05 2009 08 06 2009 14 12 2009 14 12 2009 beams (structures) elasticity Legendre polynomials perturbation theory shells (structures) vibrations This paper was motivated by the question: Is it possible to image living...