Overview:
This proposed edited volume presents a coherent mathematical and computational toolkit for vibration phenomena and coupled fluid–structure interaction (FSI), with a special focus on cylindrical shells and multi-layered functionally graded material (FGM) structures. The book bridges foundational modeling (PDE formulation, boundary/interface conditions, non dimensionalization, and energy methods) with practical solution approaches (separation of variables, integral transforms, perturbation and asymptotic techniques) and modern numerical methods (finite difference/finite element/spectral schemes, eigenvalue solvers, and time integration).
Beyond classical vibration theory, the volume addresses modeling ingredients frequently required in current research and engineering analysis: ring-support and stiffener effects, layered construction, temperature dependence, and parametric sensitivity for shell structures. It also provides a structured entry to FSI: coupling conditions, added-mass effects, stability considerations, and algorithmic strategies for partitioned and monolithic coupling. Worked examples and focused case studies demonstrate how analytical insight and computation reinforce each other for reliable prediction and design guidance.
The volume is intended for graduate students, researchers, and practitioners in applied mathematics, mechanical/aerospace/civil engineering, and computational mechanics who require a mathematically grounded pathway from governing equations to validated simulation and design-level conclusions.
🔍 Book Scope and Features:
- Unified pathway from governing equations to validated results for vibration + FSI.
- Dedicated coverage of multi-layered FGM cylindrical shells and ring-support / stiffener
- Balanced emphasis on theory and implementation: transforms/energy methods + robust numerical workflows.
- Research-facing features: mode tracking, sensitivity, convergence verification, and reproducibility guidance.
- Suitable as a graduate reference and a research handbook with worked examples and case studies.
📖 Proposed Sections and Topics
- Mathematical Modeling of Vibrations and Fluid–Structure Interaction– A Unified View
- Governing Equations for Solids and Fluids with Coupling Conditions
- Analytical and Semi-Analytical Techniques for Vibration and FSI Models
- Shell Theories and Geometry for Cylindrical Structures
- Functionally Graded and Layered Cylindrical Shells
- Cylindrical Shells – Free/Forced Vibration and Frequency Analysis
- Supported and Stiffened Cylindrical Shells (Ring Supports and Constraints)
- Fluid–Structure Interaction Formulations and Coupling Algorithms
- Numerical Implementation, Validation, and Selected Applications
- Wave Propagation
- Electromagnetic Waves
📘 Editors
Dr. Naveed Hussain
Assistant Professor, Department of Mathematics & Statistics, University of Agriculture, Faisalabad, Pakistan
Madiha Ghamkhar,
Assistant Professor, Department of Mathematics & Statistics, University of Agriculture, Faisalabad, Pakistan
Dr. Muhammad Imran Chaudhry
Professor of Mathematics, Department of Mathematics, Government College University, Faisalabad (GCUF), Pakistan
📧 drmimranchadhry@gcuf.edu.pk
Asra Ayub
Ph.D. Mathematics Scholar, Department of Mathematics & Statistics, University of Agriculture Faisalabad, Pakistan.
Chapter Proposal Submission:
Please submit an abstract no longer than 500 words to Prof. Dr. Muhammad Imran/ Dr. Madiha Ghamkhar at drmimranchaudhry@gcuf.edu.pk/ madiha.ghamkhar@uaf.edu.pk by March 27, 2026.
Key Features:
- Professional review, editing.
- Professional cover-page design and typesetting.
- ISBN number
- Online publication of the book.
📆 Important Dates
- Submission of Abstracts: 27 March 2026
- Acceptance of Abstracts: 29 March 2026
- Chapter submission deadline: 17 April 2026
- Review Process: 19 April 2026 to 10 May 2026
- Acceptance notification: 10 May 2026
- Publication date: 25 June 2026.