Browsing by Author "Ghellab Torkia"

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    Vibrations and Mechanical Waves
    (University of M'sila, 2024-11-18) Ghellab Torkia
    This course handout, Vibrations and Mechanical Waves, is designed to align with the LMD-S3 License training curriculum in the fields of Material Science (SM) and Science and Technology (ST). The content is structured into two parts, providing a comprehensive exploration of vibrations and wave propagation phenomena. The first part, organized into five chapters, focuses on vibrations. Chapter one introduces the Lagrange formalism, which describes the oscillations of physical systems. Chapter two examines free linear oscillations of systems with one degree of freedom under low amplitude conditions. Chapter three addresses damped motion, incorporating the effects of viscous friction proportional to velocity. The concept of resonance in forced oscillations is detailed in chapter four. Finally, chapter five discusses vibrations in systems with multiple degrees of freedom, expanding the scope to more complex scenarios. The second part of the course, spanning the final two chapters, is dedicated to wave propagation phenomena, offering a detailed treatment of the principles and applications of mechanical waves. The course is presented in a logical and progressive manner, with each new concept supported by simple examples and practical problems designed to reinforce understanding. This structure ensures students can effectively assimilate the material, building a solid foundation in vibrations and mechanical waves for applications in material science and technology.