Can a nonlinear vibration problem be identified by looking at its governing differential equation? 7. what is the difference between deterministic and random vibration? give two practical examples of each. 8. what methods are available for solving the governing equations of a vibration problem? 9. how do you connect several springs to increase the overall stiffness? 10. define spring stiffness and damping constant. 11. what are the common types of damping? 12. state three different ways of expressing a periodic function in terms of its harmonics. 13. define these terms: cycle, amplitude, phase angle, linear frequency, period, and natural frequency. 14. how are and f related to each other? 15. how can we obtain the frequency, phase, and amplitude of a harmonic motion from the corresponding rotating vector? 16. how do you add two harmonic motions having different frequencies? 17. what are beats? 18. define the terms decibel and octave. 19. explain gibbs phenomenon. 20. what are half-range expansions?