Sign inSubmit
Tips: “quotes” for a phrase · author:Lee · a DOI goes straight to its article

18 results for “analytical formulation”
Set a search alert
Research ArticleOpen accessIn the keywordsA Simple Algorithm to Assess the Speed Stability of Induction GeneratorsAlexandre de Assis Mota, Lia Toledo Moreira MotaProblem statement: The speed stability if Induction Generators (IG) can be defined as its ability to remain connected to the electric network, operating at a mechanical speed close to the speed associated to the actual system frequency, after being subjected to a perturbation. This IG behavior is normally studied using dynamical methods that are determined through time-consuming simulations and are … …Journal of Computer Science, Vol. 7, Issue 6 · 13 Jun 2011 · 6,554 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn a Novel Closed-Form Analytical Solution for Unsteady Solidification: Theory and ApplicationGueber Elias Mendes Santos Júnior, Fernando S. Rocha, Ana Beatriz S. Silva et al.Numerical modeling of transient solidification under convective boundary conditions presents a significant challenge because accurately tracking the solid–liquid interface is essential for obtaining a stable solution. Although analytical solutions are generally straightforward to apply, the growing demand for energy storage driven by mismatches between supply and demand in renewable‑energy systems requires reliable predictive tools for Latent Heat Thermal Energy Storage … …American Journal of Engineering and Applied Sciences, Vol. 19, Issue 1 · 21 May 2026 · 1,680 accessesView PDFCite
Research ArticleOpen accessIn the abstractDevelopment and Validation of a 2D Finite Element Model for Air Pollution Dispersion (SUITE-2D)Youssef Ismail HafezThis paper presents the development and validation of SUITE-2D (Solving Unsteady Incompressible Transport Equation in Two Dimensions), a two-dimensional finite element model for solving the advection-diffusion transport equation with decay and source terms. The model provides an efficient and accurate approach for simulating pollutant dispersion in environmental systems. The finite element formulation uses the standard Galerkin method, with numerical integration … …American Journal of Environmental Sciences, Vol. 21, Issue 1 · 22 Dec 2025 · 3,133 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Generalized Algorithm for the Gravitational Potential of a Homogeneous CuboidThunendran Periyandy, Michael BevisThis paper presents a mathematical formulation for computing the gravitational potential of a cuboid (or right rectangular prism) with uniform density. The resulting analytical expressions are valid inside, on and outside the cuboid. The methodology systematically organizes logarithmic and arctangent terms using a hexagonal graph approach, promoting numerical stability and correct sign allocation. We provide a structured pseudocode algorithm to … …Physics International, Vol. 16, Issue 1 · 28 Nov 2025 · 3,180 accessesView PDFCite
Research ArticleOpen accessIn the abstractComparative Assessment of Analytical models for the ULS Resistance Verification of Structural Glass Elements under Variable LoadsChiara Bedon, Claudio AmadioThe design of glass structures, due to the intrinsic material properties, is mainly governed by the typical tensile brittle behavior of the material. In this regard, a currently open question related to the use of glass in buildings as a load-bearing constructional material, is represented by the correct estimation of static fatigue phenomena due to a generic combination of design … …American Journal of Engineering and Applied Sciences, Vol. 10, Issue 1 · 16 Mar 2017 · 7,765 accessesView PDFCite
Research ArticleOpen accessIn the abstractEfficient Co-Rotational 3-Node Shell ElementGil Rama, Dragan Marinkovic, Manfred ZehnGeometric nonlinear FE-analysis of thin-walled shell structures, using a co-rotational formulation and the Cell Smoothed Discrete Shear Gap triangular shell element (CS-DSG3) is presented in this study. The CS-DSG3 element formulation uses the Mindlin-Reissner kinematic hypothesis to include transverse shear effects. In order to avoid locking effects Discrete Shear Gap (DSG) method is applied. In addition, cell based smoothing technique … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 2 · 17 Jun 2016 · 8,299 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Determination of the Tunnel Structure Loads Through the Analysis of the Interaction between the Void and the Support Using the Convergence-Confinement MethodPierpaolo OresteThe evaluation of the load acting on a tunnel support is of fundamental importance for the correct dimensioning of the structure when analytical calculation methods are used. The load acting on the support depends on various factors and for this reason its evaluation can appear somewhat complex. One way of evaluating the load acting on a support is to use … …American Journal of Applied Sciences, Vol. 11, Issue 11 · 7 Jan 2015 · 6,812 accessesView PDFCite
Research ArticleOpen accessIn the abstractSIMULATION OF THE PROCESS OF FLOW SEPARATION AT THE ENTRANCE OF SQUARE ASPIRATING PORTOlga A. Averkova, Ilya V. Kryukov, Kirill V. Plotnikov et al.We consider the flow at the inlet to the suction square hole with sharp edges, which is located in an infinite space. The purpose of this study is to construct a mathematical model of flow separation at the entrance to square suction canal with sharp edges, located in infinite space, by using square vortex frameworks. As a part of ideology … …American Journal of Environmental Sciences, Vol. 10, Issue 5 · 12 Nov 2014 · 6,685 accessesView PDFCite
Research ArticleOpen accessIn the abstractLunisolar Invariant Relative OrbitsWalid Ali RahomaThe present study deal with constructing an analytical model within Hamiltonian formulation to design invariant relative orbits due to the perturbation of J2 and the lunisolar attraction. To fade the secular drift separation over the time between two neighboring orbits, two second order conditions that guarantee that drift are derived and enforced to be equal. …American Journal of Applied Sciences, Vol. 10, Issue 4 · 2 Apr 2013 · 6,272 accessesView PDFCite
Research ArticleOpen accessIn the abstractTime-Delay Estimation using the Characteristic Roots of Delay Differential EquationsSun Yi, Wonchang Choi, Taher Abu-LebdehProblem statement: For ordinary dynamic systems (i.e., non-delayed), various methods such as linear least-squares, gradient-weighted least-squares, Kalman filtering and other robust techniques have been widely used in signal processing, robotics, civil engineering. On the other hand, time-delay estimation of systems with unknown time-delay is still a challenging problem due to difficulty in formulation caused. Approach: The presented method makes use … …American Journal of Applied Sciences, Vol. 9, Issue 6 · 7 Apr 2012 · 8,090 accessesView PDFCite