1st Edition

# Application of Numerical Methods in Engineering Problems using MATLAB®

296 Pages 139 B/W Illustrations
by CRC Press

296 Pages 139 B/W Illustrations
by CRC Press

Also available as eBook on:

Application of Numerical Methods in Engineering Problems Using MATLAB® presents an analysis of structures using numerical methods and mathematical modeling. This structural analysis also includes beam, plate, and pipe elements, and examines deflection and frequency or buckling loads. The various engineering theories of beams/plates/shells are comprehensively presented, and the relationships between stress and strain, and the governing equations of the structure are extracted. To solve governing equations with numerical methods, there are two general types, including methods based on derivatives or integrals. Derivative-based methods have the advantage of flexibility in modeling boundary conditions, low analysis time, and a very high degree of accuracy. Therefore, the book explains numerical methods based on derivatives, especially the differential quadrature method.

Features:

• Examines the application of numerical methods to obtain the deflection, frequency, and buckling loads.

• Discusses the application of numerical methods for solving motion equations.

• Includes numerous practical and applicable examples throughout.

1. Basic Theories. 2. Solution Methods. 3. Buckling of Nanoparticles Reinforced Beams Exposed to Fire. 4. Dynamic Response of Nanofiber Reinforced Beams Subjected to Seismic Ground Excitation. 5. Buckling Analysis of Plates Reinforced by Graphene Platelet. 6. Vibration Analysis of Agglomerated Nanoparticles Reinforced Plates. 7. Vibration Analysis of Plates with NFRP Layer. 8. Vibration Analysis of Plates Reinforced with Nanoparticles and Piezoelectric Layer. 9. Forced Vibration Analysis of Plates Reinforced by Nanoparticles. 10. Seismic Analysis of Plates Reinforced by Nanoparticles. 11. Stress Analysis of Shells Reinforced with Nanoparticles. 12. Earthquake Response of Nanocomposite Shells Conveying and Immersing in Fluid. 13. Vibration and Instability Analysis of Shells Reinforced by Nanoparticles. 14. Dynamic Response of Nanocomposite Shells Covered with Piezoelectric Layer.

### Biography

M.S.H. Al-Furjan is an associate professor of Mechanical Engineering. He earned his PhD degree from Zhejiang University. He has rich research and teaching experience from different universities and institutes in China, Malaysia, and Iraq. His research involves structural mechanics, smart materials and structures, and numerical methods. He has been listed in the World Top 2% Scientists ranked by Stanford University.

M. Rabani Bidgoli received his PhD degree from the University of Semnan, Semnan City, Iran. He is the technical reviewer of many top-level journals. His research includes the numerical modeling of concrete structures, numerical methods, and the theory of elasticity and new materials. He is currently an assistant professor and the head of Islamic Azad University, Jasb Branch.

R. Kolahchi received his PhD degree from the University of Kashan, Kashan City, Iran. He is among the World Top 2% Scientists based on the database developed by Stanford University. His h-index is 40, and he is the technical reviewer of many top-level journals. His research includes nanomechanics, continuum mechanics, mechanical analyses structures, smart materials, and numerical methods.

A. Farrokhian received his PhD degree from Isfahan University of Technology, Iran. He has many publications in well-known journals and his research includes composites, plate and shell theories, and numerical methods.

M.R. Bayati is researcher in Khomein Branch, Islamic Azad University, Iran. His research includes buckling, optimization, new material, and composite structures.