Mod-9 Lec-6 Transverse Vibration of Beams: Natural Frequencies and Mode Shapes

Course Lectures

• Mod-1 Lec-1 Overview of the Course, Practical and Research Trends

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-1 Lec-2 Harmonic and Periodic Motions, Vibration Terminology

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-2 Lec-1 Vibration Model, Equation of Motion-Natural Frequency

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-2 Lec-2 Energy Method, Principle of Virtual Work

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-3 Lec-1 Viscously Damped Free Vibration Special Cases: Oscillatory

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-3 Lec-2 Logarithmic Decrement Experimental Determination of Damping Coefficient Hysteresis Loop

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-3 Lec-3 Coulomb Damping other Damping Models

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-4 Lec-1 Forced Harmonic Vibration, Magnification Factor

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-4 Lec-2 Laplace Transform, Superposition Theorem

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-4 Lec-3 Rotor Unbalance and Whirling of Shaft, Transmissibility

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-4 Lec-4 Support Motion, Vibration Isolation

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-4 Lec-5 Sharpness of Resonance, Vibration Measuring Instruments

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-5 Lec-1 Generalized and Principle Coordinates, Derivation of Equation of Motion

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-5 Lec-2 Lagranges's Equation

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-5 Lec-3 Coordinate Coupling

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-5 Lec-4 Forced Harmonic Vibration

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-6 Lec-1 Tuned Absorber, Determination of Mass Ratio

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-6 Lec-2 Tuned and Damped Absorber, Untuned Viscous Damper

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-7 Lec-1 Derivation of Equations of Motion, Influence Coefficient Method

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-7 Lec-2 Properties of Vibrating Systems: Flexibility & Stiffness Matrices, Reciprocity Theorem

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-7 Lec-3 Modal Analysis: Undamped

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-7 Lec-4 Modal Analysis: Damped

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-8 Lec-1 Simple Systems With One Two or Three Discs Geared System

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-8 Lec-2 Multi-Degree of Freedom Systems-Transfer Matrix Method Branched System

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-9 Lec-1 Derivation of Equations of Motion Part 1-Newton's and Hamilton's Principle

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-9 Lec-2 Derivation of Equations of Motion Part 2-Newton's and Hamilton's Principle

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-9 Lec-3 Vibration of Strings

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-9 Lec-4 Longitudinal and Torsional Vibration of Rods

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-9 Lec-5 Transverse Vibration of Beams, Equations of Motion and Boundary Conditions

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-9 Lec-6 Transverse Vibration of Beams: Natural Frequencies and Mode Shapes

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-10 Lec-1 Rayleigh's Energy Method

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-10 Lec-2 Matrix Iteration Method

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-10 Lec-3 Durkerley, Rayleigh-Ritz and Galerkin Method

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-11 Lec-1 Finite Element Formulation for Rods, Gear Train and Branched System

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-11 Lec-2 Finite Element Formulation for Beams: Galerkin's Method

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-11 Lec-3 Global Finite Element Assembly and Imposition of Boundary Conditions

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-12 Lec-1 Vibration Testing Equipments: Signal Measurements

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-12 Lec-2 Vibration Testing Equipments: Signal Analysis

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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• Mod-12 Lec-3 Field Balancing of Rotors

  Prof. S.K. Dwivedy, Prof. Rajiv Tiwari

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