Briefly answer the following questions: (a) A professional associate on a project says that you only need to consider th

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Briefly Answer The Following Questions A A Professional Associate On A Project Says That You Only Need To Consider Th 1 (446.22 KiB) Viewed 40 times

Briefly answer the following questions: (a) A professional associate on a project says that you only need to consider the steady-state vibration solution to analyse a particular vibrations problem. Is this correct or not correct? Explain your response. (b) How do you determine whether or not to consider transient solutions in the investigation of a vibration problem? (c) In a discussion with fellow engineers about vibrations, someone states that everything that you need to know in vibration investigations can be calculated using Runge-Kutta numerical integration (MATLAB ode45 or similar) of the governing differential Equation of Motion. How do you defend that statement? How do you refute that statement? (d) Briefly explain the steps, tools, and techniques that you would take to analytically investigate a vibrations problem. (e) Mechanical ystems must usually operate over a range of conditions. Unfortunately, one or more resonance points may have to be passed through during system startup to operating state or during system shutdown. How can this type of transitory resonance problem be addressed? What analytical tools could you use to convince someone of your approach? (f) Often, time-domain plots and phase plots of system vibration response are useful. Likewise, frequency-domain plots of system response characteristics are often useful. Explain when to use these two methods of visualisation in design and analysis. (g) Damping is often a considerable uncertainty in a vibrations investigation. In a MDOF system, what techniques are available to include linear viscous damping in an analysis? (h) The second-order differential Equations of Motion may be expressed in the first-order State- Space form. What methods are available to solve the State-Space formulation? (i) Equations of Motion may be formulated using Newton's Second Law force and moment bal- ance or Lagrange's Equations. Briefly discuss how to decide which method to use. (j) Explain how an applied excitation force can cause a stable SDOF Equation of Motion to become unstable without resonance, e.g., flutter or divergence.