Nonlinear dynamics and resonance analysis of multilayer porous FG shallow shells reinforced with FG oblique stiffeners under two-term excitation

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2025-01-13 DOI:10.1016/j.tws.2025.112947

Kamran Foroutan, Farshid Torabi

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引用次数: 0

Abstract

The present research examines the nonlinear dynamic behaviors of multilayer porous functionally graded (MPFG) shallow shells reinforced with FG oblique stiffeners (FGOS), under two-term excitation and combination resonances, utilizing a semi-analytical method. The shallow shells have three layers consisting of ceramic, porous FG (PFG), and metal. The oblique stiffeners are made of FG material and also reinforce the shell internally. In addition, two types of PFG layers, including evenly and unevenly distributed porosities, are examined in the current study. The technique of Lekhnitskii's smeared stiffeners is employed to simulate the stiffeners. Employing a semi-analytical approach, the research introduces a nonlinear model formulated using the first-order shear deformation theory (FSDT) combined with stress functions. Furthermore, the Galerkin method is utilized to discretize the nonlinear governing equations (NGEs). Eventually, the method of multiple scales (MMS) is employed to derive the necessary theoretical relations for examining combination resonance, and P-T method is employed to analyze the vibration responses. To validate the findings of this study, comparisons are made with prior studies as well as with P-T method. The analysis reveals significant impacts of stiffener angles and material parameters on the vibration responses, demonstrating enhanced dynamic performance and resonance management capabilities of the proposed shell configurations. Key findings include the identification of optimal stiffener configurations that minimize resonance amplitudes. The outcomes of this study can serve as reference points for engineers and researchers involved in the design and analysis of MPFG shallow shells reinforced with FGOS.

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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.