In this paper, we first recall the definition of a family of Koenig’s root-

finding algorithms known as Koenig’s algorithms (𝐾௣,௡) for polynomials. In the whole

paper p has degree 𝑑 ≥ 2 with real coefficients and real (and simple) zeros 𝑥௞ , 1 ≤

𝑘 ≤ 𝑑 .

Now we want to discuss Koenig’s algorithms in details where

𝑛 = 4, (𝐾௉,ସ(𝑧)).

Corrugated composite plate with different profile may be of interest for energy absorption application due to their improved crashworthiness. In the current paper, square profile corrugated composite plates made of fiber glass reinforced plastic (FGRP) are introduced as energy absorption structure. Different arrangements of the corrugated plate are tested. In addition to that, the effect of placing a flat composite plate made from same material is studied experimentally. Multilayers (single, double, and triple layers) of the square profile corrugated composite plates have been fabricated and tested under the same condition. The tested specimens are subjected to quasi-static compression load. The well-known crashworthiness parameters are being recorded and used to compare the different configurations.

The article presents the effect of dimensions and geometry on the crushing behavior, energy absorption, failure mechanism, and failure mode of woven roving glass fiber/epoxy laminated composite tube. Three sizes (big CCT1, medium CCT2, and small CCT3) of cylindrical composite tubes (CCT) were fabricated and tested under the same conditions. Comprehensive experimental work was conducted that includes axial and lateral quasi-static crushing test to examine the influence of the design parameters on the energy absorption characteristics of CCT. Load–displacement curves and deformation histories were presented and discussed. Different parameters were obtained from studying of load–displacement curves, these parameters are: initial failure load, average crushing load, and total energy absorption.

The main objective of this article is to study composite structures as an energy absorption system. The method of approach has been to fabricate and test a series of composite plates with sinusoidal corrugation profile. These plates have been subjected to compression load. In order to achieve this aim, an extensive experimental as well as theoretical study has been conducted. Tested specimens were fabricated and tested in the same conditions. In addition to that, multi layers of composite plates with sinusoidal profiles were fabricated and tested. Results showed that the specific energy absorption and load carrying capacity increased with the increase of the number of corrugated plates. It has been found that, the relationship between the two factors is directly proportional.

This article presents the quasi-static crushing performance of six different geometrical shapes of small scale corrugated composite plates with triangular profile. The idea is to understand the effect of corrugation profile, and number of layers on the progressive deformation and energy absorption capability of corrugated composite plates of triangular profile with multi layers. Different corrugated composite plates of triangular profile with single, double, and triple layers have been manufactured by hand layup technique using woven roving fiber glass/epoxy. In addition to that, flat composite plates have been made using same materials. These plates have been placed in-between some specimens of corrugated composite plates. Several quasi-static tests have been conducted for all six shapes of tested models under same conditions.