Explicit Formulas Associated with Some Families of Generalized Bernoulli and Euler Polynomials
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-0891-0
Abstract: In this paper, we propose and derive several new explicit formulas of the generalized Bernoulli and Euler polynomials in terms of the generalized Stirling numbers of the second kind. A study of some families of… read more here.
Keywords: associated families; bernoulli euler; formulas associated; euler polynomials ... See more keywords
Nonlocal nonlinear model of Bernoulli–Euler nanobeam with small initial curvature and its application to single-walled carbon nanotubes
Sign Up to like & getrecommendations! Published in 2019 at "Microsystem Technologies"
DOI: 10.1007/s00542-019-04365-8
Abstract: Although the small-scale effect and initial curvature have significant influence on the nonlinear mechanical property of the nanobeam, there are few researches to consider both factors. On the basis of the nonlocal differential constitutive relation,… read more here.
Keywords: bernoulli euler; initial curvature; euler nanobeam; curvature ... See more keywords
Robust Averaged Control of Vibrations for the Bernoulli–Euler Beam Equation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-017-1128-x
Abstract: This paper proposes an approach for the robust averaged control of random vibrations for the Bernoulli–Euler beam equation under uncertainty in the flexural stiffness and in the initial conditions. The problem is formulated in the… read more here.
Keywords: bernoulli euler; control; averaged control; vibrations bernoulli ... See more keywords
Linear static isogeometric analysis of an arbitrarily curved spatial Bernoulli–Euler beam
Sign Up to like & getrecommendations! Published in 2018 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.07.010
Abstract: Abstract The present research is focused on the linear analysis of a spatial Bernoulli–Euler beam. Metrics of the reference and deformed configurations are rigorously defined with respect to the convective coordinate frame of reference. No… read more here.
Keywords: spatial bernoulli; bernoulli euler; analysis; beam ... See more keywords
Strain proportional damping in Bernoulli-Euler beam theory
Sign Up to like & getrecommendations! Published in 2020 at "Mechanical Systems and Signal Processing"
DOI: 10.1016/j.ymssp.2020.106907
Abstract: Abstract In structural dynamics, different damping models are used; however, due to modal decomposition, those models typically result in the use of the damping ratio as the modal damping parameter. If proportional viscous damping is… read more here.
Keywords: damping parameter; mode; bernoulli euler; beam theory ... See more keywords
A new characterization for classical Bernoulli–Euler elastic curves in Rn
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887819501032
Abstract: In this paper, we show that the velocity vector field of classical Bernoulli–Euler elastic curve is harmonic in [Formula: see text] space. We propose a new characterization for classical Bernoulli–Euler elastic curves and plot graphs… read more here.
Keywords: classical bernoulli; new characterization; bernoulli euler; euler elastic ... See more keywords
Some recurrence formulas for the q-Bernoulli and q-Euler polynomials
Sign Up to like & getrecommendations! Published in 2020 at "Filomat"
DOI: 10.2298/fil2002663d
Abstract: The recurrence relations have a very important place for the special polynomials such as q-Appell polynomials. In this paper, we give some recurrence formulas that allow us a better understanding of q-Appell polynomials. We investigate… read more here.
Keywords: recurrence formulas; bernoulli euler; euler polynomials; formulas bernoulli ... See more keywords
Bending and vibration analysis of delaminated Bernoulli–Euler micro-beams using the modified couple stress theory
Sign Up to like & getrecommendations! Published in 2017 at "Scientia Iranica"
DOI: 10.24200/sci.2017.4252
Abstract: In this paper, we study static bending and free vibration behavior of Bernoulli–Euler micro-beams with a single delamination using the modified couple stress theory. The delaminated beam is modeled by four interconnected sub-beams using the… read more here.
Keywords: micro beams; bernoulli euler; vibration; micro ... See more keywords
Influence of Inertial Vlasov Foundation Parameters on the Dynamic Response of the Bernoulli—Euler Beam Subjected to A Group of Moving Forces—Analytical Approach
Sign Up to like & getrecommendations! Published in 2022 at "Materials"
DOI: 10.3390/ma15093249
Abstract: The subject of this study is the vibration of the Bernoulli–Euler beam on a three-parameter inertial foundation caused by a group of moving forces. The solution to the problem is obtained analytically. The influence of… read more here.
Keywords: beam; dynamic response; euler beam; foundation ... See more keywords
Free Vibrations of Bernoulli-Euler Nanobeams with Point Mass Interacting with Heavy Fluid Using Nonlocal Elasticity
Sign Up to like & getrecommendations! Published in 2022 at "Nanomaterials"
DOI: 10.3390/nano12152676
Abstract: Eigenfrequencies of a nanobeam with a point mass interacting with a heavy fluid are calculated using Bernoulli-Euler kinematics and consistent nonlocal elasticity model. The proposed approach is applicable to a variety of nanotechnology materials and… read more here.
Keywords: interacting heavy; heavy fluid; point mass; mass interacting ... See more keywords
LEHMER'S GENERALIZED EULER NUMBERS IN HYPERGEOMETRIC FUNCTIONS
Sign Up to like & getrecommendations! Published in 2019 at "Journal of The Korean Mathematical Society"
DOI: 10.4134/jkms.j180227
Abstract: . In 1935, D. H. Lehmer introduced and investigated generalized Euler numbers W n , defined by where ω is a complex root of x 2 + x +1 = 0. In 1875, Glaisher gave… read more here.
Keywords: numbers hypergeometric; euler numbers; bernoulli euler; generalized euler ... See more keywords