the complete 3d nonlinear dynamic problem of extensible, flexible risers conveying fluid is considered. for describing the dynamics of the system, the newtonian derivation procedure is followed. the velocity field inside the pipe formulated using hydrostatic and bernoulli equations. the hydrodynamic effects of external fluids are taken into consideration through the nonlinear drag forces in var...

This paper presents a test case to help validate simulation codes for contact problems involving beams. A closed form solution is derived and the comparison made with finite element (FE) implementation that uses mortar method enforcing constraints. The consists of semi-infinite cantilever beam subjected constant distributed load experiencing frictionless straight rigid substrate. Both an Euler-...

This study presents a novel approach for addressing dynamical characteristics of fluid conveying axially functionally graded pipes. The variation material properties the pipe along axial direction is taken into account according to power-law function. Owing unified expression displacement field, developed model can be recast classical Euler – Bernoulli and Timoshenko tube models as well newly h...

In 2008, Liu and Wang established various symmetric identities for Bernoulli, Euler and Genocchi polynomials. In this paper, we extend these identities in a unified and generalized form to families of Hermite-Bernoulli, Euler and Genocchi polynomials. The procedure followed is that of generating functions. Some relevant connections of the general theory developed here with the results obtained ...

This article presents a generalization of new classes degenerated Apostol–Bernoulli, Apostol–Euler, and Apostol–Genocchi Hermite polynomials level m. We establish some algebraic differential properties for generalizations Apostol–Bernoulli polynomials. These results are shown using generating function methods Apostol–Euler

By a symbolic method, we introduce multivariate Bernoulli and Euler polynomials as powers of polynomials whose coefficients involve multivariate Lévy processes. Many properties of these polynomials are stated straightforwardly thanks to this representation, which could be easily implemented in any symbolic manipulation system. A very simple relation between these two families of multivariate po...

purpose– analysis of non-prismatic beams has been focused of attention due to wide use in complex structures such as aircraft, turbine blades and space vehicles. apart from aesthetic aspect, optimization of strength and weight is achieved in use of this type of structures. the purpose of this paper is to present new shape functions, namely 3-node basic displacement functions (bdfs) for derivati...

Although the small-scale effect and material nonlinearity significantly impact mechanical properties of nanobeams, their combined effects have not attracted interest researchers. The present paper proposes two new nonlinear nonlocal Euler–Bernoulli theories to model corresponding extensible or inextensible nanobeams. Two consider induced by effect. models are used analyze static bending forced ...