This module discusses rotor unbalance and the whirling of shafts, including transmissibility and its effects on the stability of rotating machinery.
This module covers the overview of the course, including its objectives, practical applications in various industries, and current research trends in mechanical vibrations.
This module introduces harmonic and periodic motions along with essential vibration terminology. Understanding these concepts is crucial for analyzing mechanical systems.
This module focuses on the vibration model and the equation of motion for determining natural frequency. Key methods such as the energy method and Rayleigh method are explored.
In this module, we will delve into energy methods and the principle of virtual work, which are crucial for understanding the dynamics of mechanical systems in vibrations.
This module discusses viscously damped free vibrations, covering special cases such as oscillatory, non-oscillatory and critically damped motions, among other damping models.
This module provides insights into logarithmic decrement and the experimental determination of the damping coefficient, including the analysis of hysteresis loops.
This module covers Coulomb damping and other damping models, emphasizing their significance in the analysis and design of mechanical systems subjected to vibrations.
This module examines forced harmonic vibrations, focusing on magnification factors and their implications in mechanical systems under periodic forces.
In this module, we introduce the Laplace Transform and the Superposition Theorem, which are powerful tools for analyzing vibrations in mechanical systems.
This module discusses rotor unbalance and the whirling of shafts, including transmissibility and its effects on the stability of rotating machinery.
This module focuses on support motion and vibration isolation techniques, essential for reducing unwanted vibrations in mechanical systems and ensuring stability.
This module covers the sharpness of resonance and introduces various vibration measuring instruments, essential for analyzing and mitigating vibrational issues.
This module dives into concepts of generalized and principal coordinates, including the derivation of equations of motion that are vital for multi-DOF systems.
This module focuses on Lagrangeâs equation, which provides a systematic method for deriving equations of motion for complex mechanical systems.
This module discusses coordinate coupling and its implications in multi-DOF systems, enhancing our understanding of coupled vibrations and their effects.
This module explores forced harmonic vibration in depth, analyzing its characteristics and effects on the system's response and stability.
This module introduces tuned absorbers, detailing their design and the determination of mass ratios necessary for effective vibration mitigation in systems.
This module covers tuned and damped absorbers, as well as untuned viscous dampers, emphasizing their importance in controlling vibrations in engineering applications.
This module delves into deriving equations of motion using the influence coefficient method, a critical approach in understanding multi-DOF systems in vibrations.
This module focuses on the properties of vibrating systems, including flexibility and stiffness matrices, and the application of the reciprocity theorem in analysis.
This module presents modal analysis techniques for both undamped and damped systems, providing insights into system behavior and response characteristics.
This module concludes with advanced topics in mechanical vibrations, including a comprehensive understanding of all previously covered concepts in practical applications.
This module introduces the fundamental concepts of simple systems featuring one, two, or three discs, focusing on geared systems. Students will explore:
By the end of this module, students will be equipped to understand the behavior of multi-disc systems under various loading conditions and the importance of design considerations in minimizing vibrations.
This module covers multi-degree of freedom systems, emphasizing the transfer matrix method for branched systems. Key topics include:
Students will learn how to derive equations of motion for complex systems and understand the effects of coupling on vibrational behavior.
This module focuses on deriving equations of motion using Newton's and Hamilton's principles. Key highlights include:
Students will gain insights into how these principles can be applied to solve complex vibration problems and analyze system dynamics.
This module continues the exploration of deriving equations of motion, furthering the understanding gained in the previous lecture. It will cover:
By the end of this module, students will be adept at applying these principles to a variety of engineering problems, enhancing their analytical skills.
This module focuses on the vibration of strings, emphasizing the theoretical and practical aspects. Key topics include:
Students will learn to analyze string vibrations quantitatively and qualitatively, preparing them for practical applications in various fields.
This module addresses the longitudinal and torsional vibration of rods, providing a comprehensive understanding of their behavior. Topics include:
By the end of this module, students will be able to apply these concepts to design and analyze rod-based structures effectively.
In this module, students will explore transverse vibration of beams, focusing on the equations of motion and boundary conditions. Key areas include:
This knowledge is essential for analyzing beam structures, ensuring they meet safety and performance standards.
This module extends the study of transverse vibration of beams by focusing on natural frequencies and mode shapes. Key points include:
Students will develop a strong understanding of dynamic response characteristics critical for engineering applications.
This module introduces Rayleigh's energy method, a powerful tool for analyzing vibrations. Key components include:
Students will learn to apply this method in practical vibrations analysis, enhancing their problem-solving skills.
This module focuses on the matrix iteration method, a numerical technique for solving vibration problems. Key topics include:
Students will gain skills in implementing this method for practical engineering challenges, enhancing their computational abilities.
This module covers the Dunkerley, Rayleigh-Ritz, and Galerkin methods, essential techniques for vibration analysis. Key aspects include:
Students will learn to select appropriate methods for various vibration analysis tasks, broadening their analytical toolkit.
This module focuses on finite element formulation for rods, geared systems, and branched systems, essential for modern engineering analysis. Topics include:
Students will develop skills in applying FEA for complex engineering structures, preparing them for advanced analysis tasks.
This module introduces finite element formulation for beams, focusing on Galerkin's method. Key areas include:
Students will learn to implement FEA for beams effectively, enhancing their capability to analyze complex systems.
This module covers global finite element assembly and the imposition of boundary conditions, crucial for solving vibration problems. Key topics include:
Students will gain practical skills necessary for implementing FEA in real-world scenarios, ensuring accurate results in dynamic analysis.
This module focuses on vibration testing equipment, covering signal measurement techniques and instruments. Key components include:
Students will learn to select and utilize testing equipment effectively to analyze vibration data, enhancing their practical skills in engineering.
This module examines signal analysis instruments used in vibration testing. Key topics include:
Students will develop skills in using these instruments to extract meaningful insights from vibration data, critical for maintenance and design.
This module focuses on field balancing of rotors, a critical aspect of vibration management. Key highlights include:
Students will learn to implement field balancing techniques to reduce vibrations in rotating machinery, enhancing operational reliability.