Tensegrity structures are geometric nonlinear systems and statically and kinematically indeterminate structures that require an initial shape-finding procedure to establish a self-equilibrium state.

Abstract: Many authors suggested methods to solve nonlinear equations. Each of these methods has its advantages and disadvantages. In this work, we chose some methods with low cost and high accuracy ...

The intricate internal structure of fuel rods results in a non-uniform mass distribution, making it imperative to employ analytical methods for accurate assessment. The study utilizes Euler beam ...

MATLAB programs for solving the power-flow equations using either of methods: Gauss-Seidel (G-S), Newton-Raphson (N-R) & Fast Decoupled Load Flow (FDLF). Numerical solution to the incompressible ...

We’re suckers for good-looking old-school calculators, so this interesting numerical equation-solving calculator by [Peter Balch] caught our attention. Based around the ESP32-WROOM-32 module and an ...

ABSTRACT: We propose and demonstrate an original geometric argument for the ancient Babylonian square root method, which is analyzed and compared to the Newton-Raphson method. Based on simple geometry ...

ABSTRACT: In this paper we propose two original iterated maps to numerically approximate the nth root of a real number. Comparisons between the new maps and the famous Newton-Raphson method are ...

This paper deals with the convergence acceleration of iterative nonlinear methods. An effective iterative algorithm, named the three-point method, is applied to nonlinear analysis of structures. In ...