In this article, vibration characteristics and the parametric instability of functionally graded material (FGM) plates with cyclic loading in a hygrothermal field are discussed. The plate element is modeled in a finite element by applying the third-order shear deformation hypothesis. The mathematical formulation of the FGM plate is made with two material constituents by applying the power rule ...

Integral representations for generalised Mathieu series are obtained which recapture the Mathieu series as a special case. Bounds are obtained through the use of the integral representations.

The main purpose of this paper is to present a number of potentially useful integral representations for the familiar Mathieu a-series as well as for its alternating version. These results are derived here from many different considerations and are shown to yield sharp bounding inequalities involving the Mathieu and alternating Mathieu a-series. Relationships of the Mathieu a-series with the Ri...

Humans move to the beat of music. Despite the ubiquity and early emergence of this response, some individuals report being unable to feel the beat in music. We report a sample of people without special training, all of whom were proficient at perceiving and producing the musical beat with the exception of one case ("Mathieu"). Motion capture and psychophysical tests revealed that people synchro...

0167-8191/$ see front matter 2013 Elsevier B.V. All rights reserved. http://dx.doi.org/10.1016/j.parco.2013.01.003 q A preliminary version of part of the results presented in this paper appears in IPDPS’2012. ⇑ Corresponding author. Address: Laboratoire LIP, ENS Lyon, 69364 Lyon Cedex 07. Tel.: +33 472728586; fax: +33 472728080. E-mail address: [email protected] (Y. Robert). Jack Dongarra...

Here we study the automorphism groups of 1-designs constructed from finite nonabelian simple groups by using two methods presented in Moori (Information Security, Coding Theory and Related Combinatorics, 2011) [9]. We obtain some general results for both and improve one of these methods. In an application to the sporadic Mathieu groups Mn, we are able to retrieve the Steiner systems S(t, t+ 3, ...

soil erosion is undoubtedly one of the most important problems in natural areas and has a devastating impact on grassland ecosystems. the present study was conducted to assess the ability of rangeland hydrology and erosion model for estimating sediment yield on rangeland’s hill slopes in dry regions at shahid noori paired watershed of kakhk. rhem is a mathematical, distribution and physical mod...

We present an instability in vertically vibrated dilute wormlike micellar solutions. Above a critical driving acceleration the fluid forms elongated solitary domains of high amplitude waves. We model this instability using a Mathieu equation modified to account for the non-Newtonian character of the fluid. We find that our model successfully reproduces the observed transitions.

For theMathieu differential equation y(x)+[a−2q cos(x)]y(x) = 0with purely imaginary parameter q = is, the characteristic value a exhibits branching points. We analyze the properties of the Mathieu functions and their Fourier coefficients in the vicinity of the branching points. Symmetry relations for the Mathieu functions as well as the Fourier coefficients behind a branching point are given. ...