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US 10,844,921 B2Granted
Exact constraint for flexible bodies
OwnerSamir Ali Nayfeh, Justin Matthew Verdirameinventors
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Abstract
This invention relates to the constraint of a flexible body with low distortion and low uncertainty in its location. A class of mechanisms involving at least one pivot rocker is disclosed. These mechanisms fully constrain a body in space, but when constrained allow the flexible body to vibrate in the shape of one or more of its free mode shapes. Such a set of constraints yields a constrained system with high natural frequencies without over-constraining the body.
Claims4
A mechanism for constraining a flexible body comprising:
- the flexible body;
- a first pivot rocker, a second pivot rocker, and a third pivot rocker, each of which has a pivot connection to a base, an axis of each said first, second and third pivot rockers oriented parallel to a common plane;
- wherein the first pivot rocker is connected to the second pivot rocker with a first joint that constrain said first and second pivot rockers to move together in a direction normal to said common plane at a location of the pivot connection;
- the first pivot rocker is connected to the third pivot rocker with a second joint that constrain said first pivot rocker and said third pivot rocker to move together in the direction normal to said common plane at a location of the second joint connection,
- the second pivot rocker is connected to the flexible body at two locations, and the third pivot rocker is connected to the flexible body at another two locations.
2 more elements
A method for constraining motion of a flexible body, the method comprising:
- determining a plurality of free natural frequencies and associated free mode shapes of the flexible body when not constrained by a mechanism,
- synthesizing the mechanism including at least one, pivot rocker configured to constrain at least one point on the flexible body in at least one degree of freedom,
- configuring the mechanism so that it does not substantially constrain the flexible body from deforming in the shape of at least one of its free mode shapes associated with a non-zero free natural frequency.
Dependencies are inferred from the claim text.