Learn · Dynamics of Ocean Structures
Lecture 49 of 49Module 3
Duhamel's integrals
Dr. Srinivasan Chandrasekaran · IIT Madras
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- Dynamics of Ocean Structures, IIT Madras (at NPTEL)
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- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
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All the lectures
- Introduction to different types of ocean structures I
- Introduction to different types of ocean structures II
- Introduction to different types of ocean structures III
- Types of Compliant towers
- New Generation offshore and Coastal structures
- Environmental forces
- Wave forces, Current
- Introduction to Structural dynamics
- Characteristics of single degree - of- freedom model
- Methods of writing equation of motion
- Free and forced vibration of single degree - of - freedom systems
- Undamped and damped systems I
- Undamped and damped systems II
- Undamped and damped systems III
- Comparison of methods
- Examples
- Numerical problems in single degree - of - freedom systems
- Two degrees - of - freedom systems
- Eigenvalues and Eigenvectors
- Orthogonality of modes
- Study of Multi degrees - of - freedom systems
- Equations of motion
- Natural frequencies and mode shapes
- Stodla, Rayleigh - Ritz and influence coefficient methods, Dunkerley
- Continuous system
- Structural action of offshore structures
- Fluid - Structure interaction I
- Fluid - Structure interaction II Dynamic analysis of offshore jacket platforms
- Steps of analysis using software
- Steps of analysis using software (contd..)
- Dynamic analysis of articulated towers
- Iterative frequency domain I
- Iterative frequency domain II
- Multi - legged articulated towers
- Response control of multi-legged articulated towers using tuned mass dampers Experimental and analytical studies on MLAT
- Development of Tension Leg Platforms and geometric optimization
- Dynamic analyses of TLPs
- Development of Mass, stiffness and damping matrices of TLP from first principles
- Estimate of classical damping
- TLPs under seismic excitation
- Direct Integration method
- Development of new generation offshore structures
- Introduction to stochastic dynamics of ocean structures
- Response spectrum
- Narrow band process
- Return period, Fatigue prediction
- Modal response method, Modal mass contribution
- Missing mass correction, Example problems
- Duhamel's integrals