Results 71 to 80 of about 1,677,786 (329)
In this study, the mechanical response of Y‐shaped core sandwich beams under compressive loading is investigated, using deep feed‐forward neural networks (DFNNs) for predictive modeling. The DFNN model accurately captures stress–strain behavior, influenced by design parameters and loading rates.
Ali Khalvandi+4 more
wiley +1 more source
A selfadjoint hyperbolic boundary-value problem
We consider the eigenvalue wave equation $$u_{tt} - u_{ss} = lambda pu,$$ subject to $ u(s,0) = 0$, where $uinmathbb{R}$, is a function of $(s, t) in mathbb{R}^2$, with $tge 0$.
Nezam Iraniparast
doaj
Existence and non-uniqueness of similarity solutions of a boundary layer problem [PDF]
A Blasius boundary value problem with inhomogeneous lower boundary conditions f(0) = 0 and f'(0) = - lambda with lambda strictly positive was considered. The Crocco variable formulation of this problem has a key term which changes sign in the interval of
Hussaini, M. Y., Lakin, W. D.
core +1 more source
Bistable Mechanisms 3D Printing for Mechanically Programmable Vibration Control
This work introduces a 3D‐printed bistable mechanism integrated into tuned mass dampers (TMDs) for mechanically adaptive passive vibration suppression. Through optimized geometry, the bistable design provides adaptable vibration reduction across a broad range of scenarios, achieving effective vibration mitigation without complex controls or external ...
Ali Zolfagharian+4 more
wiley +1 more source
A singular nonlinear boundary-value problem
In this paper we prove an existence and uniqueness theorem for the singular nonlinear boundary-value problem $$displaylines{ (|y'(t)|^py'(t))'+frac{phi}{y^{lambda}(t)}=0 hbox{ in } (0,1),cr y(0)=0=y(1), }$$ where $pgeq 0$, $lambda$ is a positive constant,
Robert M. Houck, Stephen B. Robinson
doaj
Ground state solution of a nonlocal boundary-value problem
In this paper, we apply the method of the Nehari manifold to study the Kirchhoff type equation \begin{equation*} -\Big(a+b\int_\Omega|\nabla u|^2dx\Big)\Delta u=f(x,u) \end{equation*} submitted to Dirichlet boundary conditions.
Batkam, Cyril Joel
core +1 more source
This study demonstrates a novel, additive manufacturing approach to produce complex, porous tungsten carbide structures using water‐based direct ink writing/robocasting. Leveraging a modified commercial printer and heat treatment, the process yields lightweight, electrically conductive 3D architectures capable of supporting a mechanical load.
James Bentley Bevis+3 more
wiley +1 more source
Smoothness of solutions of conjugate boundary-value problems on a measure chain
In this paper we consider the n-th order $Delta$-differential equation (often refered to as a differential equation on a measure chain) $$u^{Delta_n}(t) = f(t, u(sigma(t)),dots, u^{Delta_{n-1}}(sigma(t)))$$ satisfying n-point conjugate boundary ...
Eric R. Kaufmann
doaj
Solvability of a Fourth-Order Boundary Value Problem with Integral Boundary Conditions
We investigate the existence of solutions and positive solutions for a nonlinear fourth-order differential equation with integral boundary conditions of the form x(4)(t)=f(t,x(t),x′(t),x′′(t),x′′′(t)), t∈[0,1], x(0)=x′(1)=0, x′′(0)=∫01h(s,x(s),x′(s),x ...
Hui Li, Libo Wang, Minghe Pei
doaj +1 more source
Existence results for a mixed boundary value problem
In the present paper, we obtain an existence result for a class of mixed boundary value problems for second-order differential equations. A critical point theorem is used, in order to prove the existence of a precise open interval of positive eigenvalues
Armin Hadjian, Stepan Tersian
doaj +1 more source