A 3D shell model for static and free vibration analysis of multilayered magneto-elastic structures

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2024-11-04 DOI:10.1016/j.tws.2024.112620

S. Brischetto, D. Cesare

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引用次数: 0

Abstract

In this paper, an exact 3D coupled magneto-elastic shell model for static and free vibration analysis of multilayered piezomagnetic smart structures is presented. The introduction of the mixed curvilinear orthogonal reference system (

α, β, z

) allows investigations of plates, cylindrical shells, cylinders and spherical shells as actuators or sensors and also in free vibration conditions. The present exact 3D coupled shell model is composed of four second-order differential equations whose primary variables are the three displacements

u

v

and

w

and the magnetic potential

ψ

. Displacements, stresses, strains, magnetic potential, magnetic induction and circular frequency values are computed to understand the behaviour of piezomagnetic smart structures. The resolution method adopted for the present 3D magneto-elastic problem is based on harmonic forms in

α

and

β

in-plane directions and the exponential matrix method in the

z

direction. Simply supported one-layered/multilayered structures with

0 °

90 °

orthotropic angles have been analysed. The results section is divided into a first part related to the validation of the proposed 3D model and a second part where new benchmark cases are presented and discussed. Different lamination schemes, load boundary conditions, geometries and materials are studied. Magneto-elastic coupling, thickness and material layer effects are discussed for thin and thick structures. The main novelty of the present exact 3D coupled magneto-elastic shell model stands in the ability to analyse several geometries and multilayered configurations embedding piezomagnetic materials under the action of different boundary loads via a general mathematical formulation.

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用于多层磁弹性结构静态和自由振动分析的三维壳体模型

本文提出了一种精确的三维耦合磁弹性壳体模型，用于多层压磁智能结构的静态和自由振动分析。通过引入混合曲线正交参考系（α,β,z），可以研究作为致动器或传感器的板、圆柱壳、圆柱和球壳以及自由振动条件。本精确三维耦合壳体模型由四个二阶微分方程组成，其主要变量为三个位移 u、v 和 w 以及磁势 ψ。通过计算位移、应力、应变、磁势、磁感应强度和圆周频率值，可以了解压磁智能结构的行为。本三维磁弹性问题采用的解析方法基于平面方向上 α 和 β 的谐波形式以及 Z 方向上的指数矩阵法。分析了各向同性角为 0°或 90°的单层/多层简支撑结构。结果部分分为第一部分和第二部分，第一部分是对提出的三维模型的验证，第二部分是对新基准案例的介绍和讨论。研究了不同的层压方案、载荷边界条件、几何形状和材料。讨论了薄结构和厚结构的磁弹性耦合、厚度和材料层效应。本精确三维耦合磁弹性壳体模型的主要新颖之处在于，它能够通过通用数学公式分析不同边界载荷作用下嵌入压磁材料的多种几何形状和多层结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.