A Treatise on the Theory of ScrewsUniversity Press, 1900 - 544 Seiten |
Inhalt
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Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
a₁ amplitude anharmonic ratio axis of pitch B₁ centre co-ordinates co-reciprocal commence to twist common condition cone conjugate screws corresponding screws cubic cylindroid defined denote determined displacement ellipse ellipsoid equal pitch equilibrium expression following theorem forces four screws four-system freedom geometrical given screw harmonic screws Hence homographic hyperbola impulsive screw impulsive wrench infinite pitch infinity instantaneous screw intensity intersect kinetic energy locus mass-chain n-system nodal line nth order P₁ P₂ pair of screws parabola parallel perpendicular pitch quadric plane plane at infinity position potential principal screws quadratic quantities right angles rigid body rotation screw corresponding screw reciprocal screw system screw-chain screws belonging screws of equal screws of inertia screws of reference screws of zero sin² six screws straight line surface tangent third order three screws three-system twist velocity virtual coefficient whence zero pitch α₁ α₂
Beliebte Passagen
Seite 179 - ellipsoid, which is of such significance in the theory of the rotation of a rigid body about a fixed point, is presented in the Theory of Screws as a particular case of another ellipsoid, called the ellipsoid of inertia, which is of great importance in connexion with the general screw
Seite 14 - use the phrase, wrench on a screw, meaning thereby, a force directed along the screw and a couple in a plane perpendicular to the screw, the moment of the couple being equal to the product of the force and the pitch of the screw. Hence we may state that The canonical form to which
Seite 17 - a cylindroid, and if the amplitude of each twist be proportional to the sine of the angle between the two non-corresponding screws, then the body after the last twist will
Seite 540 - Theory of Screws—a geometrical study of the kinematics, equilibrium, and small oscillations of a Rigid Body.
Seite 312 - Let a be a screw about which a free rigid body is made to twist in consequence of an impulsive wrench administered on some other screw 77. Except in the case where a and 17 are reciprocal, it will always be possible (in many different ways) to design and place a rigid body so that two arbitrarily chosen screws a and
Seite 91 - the case of a body free to rotate about a fixed axis, but not to slide along it,
Seite 472 - sin a cos B, cos c = cos a cos 6 + sin a sin b cos C.
Seite 166 - the small oscillations of a rigid body about a fixed point under the influence of gravity.
Seite 89 - order, which defines the freedom of the body, and if the body be displaced from its position of equilibrium by a twist about a harmonic screw, and if it also receive any small initial twist velocity about the same screw, then the body will continue
Seite 312 - be two other screws (not reciprocal) : we may consider the question as to whether a rigid body can be designed and placed so that a shall be the instantaneous screw corresponding to