The natural frequency of the same beam shortened to 10 m can be calculated as f p 2 200 109 Nm2 2140 10-8 m4 262 kgm 10 m405 63 Hz - vibrations are not likely to occur Simply Supported Structure - Contraflexure with Distributed Mass. The motion pattern of a system oscillating at its natural frequency is called the normal mode if all parts of the system move sinusoidally with that same frequency. In the absence of a damping term the ratio km would be the square of the circular frequency of a solution so we will write km n2with n 0 and call nthe natural circular frequency of the system.
AutoFEM Analysis Natural Frequencies of a Cantilever Beam.
Then the natural frequency wn in radians per second is. Divide the equation through by m. Consider a guitar as an example. In this formula f represents frequency V represents the velocity of the wave and l.