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  1. Viscous damping is damping that is proportional to the velocity of the system. That is, the faster the mass is moving, the more damping force is resisting that motion. Fluids like air or water generate viscous drag forces.

  2. Lecture Outcome: After completing this lecture, you will be able to do the following: Derive the equation of motion of a damped free vibration for single-degree-of-. freedom system using a suitable technique. Find the solution of the damped free vibration for a SDOF systems. Finding Natural frequency and period of frequency.

  3. PART (01): VISCUOUSLY DAMPED SDOF SYSTEM UNDAMPED FREE VIBRATION Equation of Motion: 𝑚𝑢 7 :𝑡 ;𝑘𝑢 :𝑡 ;0 Initial Conditions: 𝑢 :𝑡0 ;𝑢 4,𝑢 6 :𝑡0 ;𝑢 6 4 Potentially, a solution is of the form: 𝑢 :𝑡 ;𝐺𝑒 ç [𝐺0 for non-trivial solution, i.e., for non-zero motion; 𝐺 is in general complex-valued.]

  4. Viscous Damped Free Vibrations. Viscous damping is damping that is proportional to the velocity of the system. That is, the faster the mass is moving, the more damping force is resisting that motion. Fluids like air or water generate viscous drag forces. A diagram showing the basic mechanism in a viscous damper.

  5. 1 Ιαν 2006 · The viscous damping model is a well established model, widely used both for free and forced vibrations, though particularly suited for the free response analysis.

  6. BASIC VIBRATION THEORY. Ralph E. Blake. INTRODUCTION. This chapter presents the theory of free and forced steady-state vibration of single degree-of-freedom systems. Undamped systems and systems having viscous damp-ing and structural damping are included.

  7. Damped Oscillations in Terms of Undamped Natural Modes. Space-State Formulation & Analysis of Viscous Damped Systems. Assume that the damping mechanism can be described by a viscous, quadratic, dissipation function in the generalized velocities. 1.

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