Across
- 4. The minimum number of independent coordinates required to determine completely the positions of all parts of a system at any instant of time defines the number of
- 7. a means for storing potential energy in vibrating system is
- 8. If any energy is lost or dissipated in friction or other resistance during oscillation, the vibration it is called
- 9. Systems with a finite number of degrees of freedom are called __ or lumped parameter systems
- 10. a means by which energy is gradually lost in vibrating system is
- 11. If no energy is lost or dissipated in friction or other resistance during oscillation, the vibration is known as
- 12. Around 350B.C., wrote treatises on music and sound, making observations such as the voice is sweeter than the sound of instruments, and the sound of the flute is sweeter than that of the lyre.
- 14. *(1859 1943) contributed to the study of vibration of beams, plates, and membranes. He developed a method for analyzing vibrating beams that is also applicable to turbine blades.
- 18. *Published his monumental work, Philosophiae Naturalis Principia Mathematica, in 1686, describing the law of universal gravitation as well as the three laws of motion and other discoveries
- 19. the first correct published account of the vibration of strings was given by the French mathematician and theologian, in his book Harmonicorum Liber, published in 1636.
- 23. is considered to be the founder of modern experimental science and was inspired to study the behavior of a simple pendulum
- 24. he invented the world's first seismograph
- 26. *by considering the effects of rotary inertia and shear deformation, presented an improved theory of vibration of beams, which has become known as the "thick beam theory"
- 27. also conducted experiments to find a relation between the pitch and frequency of vibration of a string.
- 28. The Greek philosopher and mathematician that is considered to be the first person to investigate musical sounds on a scientific basis conducted
- 30. pythagoras experiments on a vibrating string by using a simple apparatus called a
Down
- 1. The world s first seismograph, invented in
- 2. Any motion that repeats itself after an interval of time is called
- 3. If the frequency of the external force coincides with one of the natural frequencies of the system, a condition known as ___ occurs,
- 5. If a system is subjected to an external force, the resulting vibration is known as ___vibration
- 6. *The analytical solution of the vibrating string was presented by him in his memoir published by the Turin Academy in 1759.
- 13. The bridge that collapse due to wind-induced vibration
- 15. did both theoretical and experimental studies in 1784 on the torsional oscillations of a metal cylinder suspended by a wire
- 16. Systems with a with an infinite number of degrees of freedom are called ___ or distributed systems.
- 17. If the value or magnitude of the excitation (force or motion) acting on a vibratory system is known at any given time, the excitation is called
- 20. The vibration of thin beams supported and clamped in different ways was first studied by ____ in 1744 and Daniel Bernoulli in 1751
- 21. The method of setting up the differential equation of the motion of a string (called the wave equation), presented in most modern books on vibration theory, was first developed by ___ in his memoir published by the Berlin Academy in 1750.
- 22. Inside the seismograph was a mechanism consisting of____ surrounded by a group of eight levers pointing in eight directions.
- 25. If a system, after an initial disturbance, is left to vibrate on its own, the ensuing vibration is known as ___vibration
- 29. *In the meantime, the problem of vibration of a rectangular flexible membrane, which is important for the understanding of the sound emitted by drums, was solved for the first time by