Exact and approximate mechanisms for pure bending of sheets

Exact and Approximate Expansions with Pure Gaussian Wave Packets

j,k and aligned at an angle of 2⇡k 2j radians. Like other parabolic systems, such as curvelets and shearlets, these wavepackets are particularly useful in geophysics (see for example [7]). In this paper, we consider expansions and approximate expansions of L2(R2) functions in terms of these packets using Gaussian windows. As with Morlet’s wavelets, one can circumvent the problem of the lack of ...

Bending waves in crumpled sheets.

Crumpled paper has recently emerged as a model for disordered media. Here we use wave propagation to probe aluminum foils crumpled into balls made by hand or into cylinders obtained by confinement in a container. Surprisingly, the raw dispersion relations appear to differ from sample to sample. They correspond to bending waves that follow an effective path that is shorter than the distance betw...

existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types

بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی ‎‏بیان شد‎‎‏ه اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...

Exact Analytical Solution for Bending Analysis of Functionally Graded Annular Sector Plates

In this article, an exact levy solution is presented for bending analysis of a functionally graded (FG) annular sector plate. The governing equilibrium equations are obtained based on the classical plate theory. Introducing an analytical method for the first time, the three coupled governing equilibrium equations are replaced by an independent equation in term of transverse deflection. This equ...

Exact and approximate . . .