Some articles on mode, modes, shape, mode shape, mode shapes, shapes:
... Single-mode lasers employ etalons to suppress all optical cavity modes except the single one of interest ... diffracted beam, however, is modified to match the desired shape of the test surface ... If a mode-locked laser is modulated to form a train of pulses, its spectrum is seen to consist of the carrier frequency surrounded by a closely spaced comb of optical sideband ...
... In a one dimensional system at a given mode the vibration will have nodes, or places where the displacement is always zero ... These nodes correspond to points in the mode shape where the mode shape is zero ... Since the vibration of a system is given by the mode shape multiplied by a time function, the displacement of the node points remain zero at all times ...
... These eigenvectors represent the mode shapes of the system ... The two mode shapes for the respective natural frequencies are given as Since the system is a 2 DOF system, there are two modes with their respective natural frequencies and shapes ... The mode shape vectors are not the absolute motion, but just describe relative motion of the degrees of freedom ...
... It is possible to calculate the frequency of different mode shape of system manually by the energy method ... For a given mode shape of a multiple degree of freedom system you can find an "equivalent" mass, stiffness and applied force for a single degree of freedom system ... For simple structures the basic mode shapes can be found by inspection, but it is not a conservative method ...
... case, where the system has two lumped springs and two lumped masses, and only two mode shapes are assumed ... A mode shape is assumed for the system, with two terms, one of which is weighted by a factor B, e.g ... so, since KE = PE, Note that the overall amplitude of the mode shape cancels out from each side, always ...
Famous quotes containing the words shape and/or mode:
“Thir dread commander: he above the rest
In shape and gesture proudly eminent
Stood like a Towr; his form had yet not lost
All her Original brightness, nor appeard
Less than Arch Angel ruind, and th excess
Of Glory obscurd: As when the Sun new risn
Looks through the Horizontal misty Air
Shorn of his Beams, or from behind the Moon
In dim Eclips disastrous twilight sheds
On half the Nations, and with fear of change
—John Milton (16081674)
“The body sins once, and has done with its sin, for action is a mode of purification. Nothing remains then but the recollection of a pleasure, or the luxury of a regret.”
—Oscar Wilde (18541900)