Technologies for Sustainable Development

Proceedings of the 7th Nirma University International Conference on Engineering (NUiCONE 2019), November 21-22, 2019, Ahmedabad, India

Alka Mahajan, Parul Patel, Priyanka Sharma, Alka Mahajan, Parul Patel, Priyanka Sharma

• Publisher: CRC Press
• Year: 2022
• Print ISBN:
  9780367545857
  9780367337377
• Edition: 1
• eBook ISBN:
  9781000172225
• Topic: Technology & Engineering
• Subtopic: Civil Engineering
• Index: Technology & Engineering

This volume contains a selection of papers presented at the 7th Nirma University International Conference on Engineering 'NUiCONE 2019'. This conference followed the successful organization of four national conferences and six international conferences in previous years. The main theme of the conference was "Technologies for Sustainable Development", which is in line with the "SUSTAINABLE DEVELOPMENT GOAL" established by the United Nations. The conference was organized with many inter-disciplinary technical themes encompassing a broad range of disciplines and enabling researchers, academicians and practitioners to choose between ideas and themes. Besides, NUiCONE-2019 has also presented an exciting new set of events to engage practicing engineers, technologists and technopreneurs from industry through special knowledge sharing sessions involving applied technical papers based on case-study applications, white-papers, panel discussions, innovations and technology products.

This proceedings will definitely provide a platform to proliferate new findings among researchers.

• Advances in Transportation Engineering
• Emerging Trends in Water Resources and Environmental Engineering
• Construction Technology and Management
• Concrete and Structural Engineering
• Futuristic Power System
• Control of Power Electronics Converters, Drives and E-mobility
• Advanced Electrical Machines and Smart Apparatus
• Chemical Process Development and Design
• Technologies and Green Environment
• Sustainable Manufacturing Processes
• Design and Analysis of Machine and Mechanism
• Energy Conservation and Management
• Advances in Networking Technologies
• Machine Intelligence / Computational Intelligence
• Autonomic Computing
• Control and Automation
• Electronic Communications
• Electronics Circuits and System Design
• Signal Processing

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Civil engineering track

Free vibration analysis of laminated composite spherical shells: An analytical solution

Bharti M. Shinde & Atteshamudin S. Sayyad

Department of Civil Engineering, Sanjivani College of Engineering Kopargaon, Savitribai Phule Pune University, Kopargaon, India

ABSTRACT: In the present paper, a new higher order shear deformation theory is developed to study the free vibration response of simply supported laminated composite spherical shells. The present theory includes the effects of transverse normal and shear deformations to predict the natural frequencies. The equations of motion are obtained using the Hamilton’s Principle, and solved by using Navier’s technique. The numerical results obtained are compared with previously published results to check the accuracy and efficacy of the present theory.

Keywords: spherical, laminated, frequency, shells

1 INTRODUCTION

In the field of aerospace, marine, automobile and civil the structural components are made up of fiber-reinforced composite materials due to their attractive properties like high strength-to-weight ratio, lightweight, high stiffness-to-weight ratio. Also, the parts of the spacecraft, aircraft, and automobiles can be treated as plates and shells. The shell structures are more efficient and gives higher strength than the plates, because of the geometrical coupling of the membrane and flexural forces due to the curvature effects. The failure of these structural components occur mainly due to resonance i.e. when the external applied load frequency is equal to the natural frequency. Therefore, the free vibration study of the shells is made the area of interest of the researchers. Many researchers have carried out the dynamic analysis of the laminated composite spherical shells which can be presented in a review article by Qatu (2002a, 2002b). In past decades, Mindlin (1951) has developed a first order shear deformation theory (FSDT) for the bending and vibration analysis of plates and shells, in which the transverse shear stress is constant across the thickness and it requires the shear correction factor. To overcome limitations of FSDT Reddy (1984b) has developed a higher order shear deformation theory satisfying the zero transverse shear stress condition at top and bottom of the shell. A closed-form formulations to study the free vibration analysis of doubly curved laminated composite and sandwich shells is presented by Garg et al. (2012) using a 2D higher order shear deformation theory. Mantari and Soares (2012) have studied a bending and free vibration analysis of isotropic and multilayered plates and shells by introducing a new 5 degree of freedom higher order shear deformation theory. Sayyad and Ghugal (2019) have recently presented the bending and free vibration analysis of laminated composite and sandwich spherical shells using various refined higher order shear deformation theories.

In this paper, the free vibration analysis of laminated composite spherical shells is presented using a new fifth-order shear deformation theory. The feature of the present theory is that, it considers the effect of shear and normal deformations, to predict the accurate fundamental frequency. The fifth-order polynomial of shape function is considered in the present theory with reference to the Carrera’s recommendation. Carrera (2005) recommended that to capture the accurate global response of the beams, plates and shells, minimum fifth-order polynomial of shape function should be considered in the displacement field. The equations of motion are derived using the Hamilton’s Principle. The present theory satisfies the zero transverse shear stress conditions at top and bottom surfaces of the shell. Navier’s analytical solution is used to solve the equations of motion for a simply supported laminated composite spherical shells. The obtained natural frequency results are compared with the other higher order theories from literature.

2 METHODOLOGY

The simply supported doubly curved spherical shells having a width a in x-direction, breadth b in y-direction and thickness h in z-direction is considered in the pres...

Table of contents

• Cover
• Half Title
• Title Page
• Copyright Page
• Table of Contents
• Preface
• Introduction
• List of reviewers (TRACK WISE)
• Organizing committee
• International advisory committee
• Acknowledgments
• Chemical engineering track
• Civil engineering track
• Computer science and engineering track
• Electrical engineering track
• Electronics and communication engineering track
• Instrumentation and control engineering track
• Mechanical engineering track
• Author Index