Analytical and numerical solution

In this paper, analytical and numerical solutions are developed for the pile with a rectangular cross-section under vertical load in layered soils. The rectangular cross-section is considered as a circular cross-section with a proposed formulation of equivalent radius.

11p vifilm 24-09-2024 3 1   Download

A hybrid analytical-numerical solution is proposed to solve the problem of a laterally loaded pile with a circular cross-section in multilayered soils. In the pile-soil model, the lateral load is located at the pile head including both lateral force and bending moment. The single pile is considered as a beam on elastic foundation while shear beams model the soil column below the pile toe.

14p vifilm 24-09-2024 6 1   Download

The dynamic analysis is a necessity in the design, manufacturing and maintenance of structures. The analytic solutions are not available for most practical cases and the Finite Element Method (FEM) is not reliable due to the joint problem, unclear loading, material properties and numerical error. In this paper, we present a way to find modes shape of 3D Frame by FEM program using Matlab.

8p vidoctorstrange 06-05-2023 7 3   Download

In the course of current research the procedure of obtaining of the piecewise linear vibration systems time and frequency responses have been developed. The method is partly analytical and partly numerical and is based on combining of linear solutions of different sections in a cycle of motion. In a row with the method of obtaining of the exact steady state time and frequency response, also it is provided sensitivity analysis of the vibration isolator.

86p runthenight07 01-03-2023 10 3   Download

In this paper, we investigate the existence, uniqueness and stability of periodic solution of new integro-differential equations depended on special function with singular kernels.

15p lucastanguyen 01-06-2020 13 1   Download

An analytical and numerical solution is developed for a transient heat conduction equation in which a plane slab is heated by a bimodal distribution beam over the upper surface. In laser heat treatment of steel few methods are used to produce a wider and nearly uniform average irradiance profile.

8p tohitohi 19-05-2020 16 1   Download