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- W2801358294 abstract "Two of the three frames associated with an edge of a discretized curve are discussed in this chapter: a Bishop frame and a reference frame. Both of these frames are continually updated as the rod deforms and a pair of rotation operators are used to perform these updates. The operators are known as a space-parallel transport operator and a time-parallel transport operator, respectively. These operators combined with a rotation about the tangent vector to an edge will be used later to define the torsion of the discrete elastic rod. The chapter concludes with a simple example of a discrete rod with two edges. This example is used to illustrate the transport operators and the concept of reference twist." @default.
- W2801358294 created "2018-05-17" @default.
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- W2801358294 date "2018-01-01" @default.
- W2801358294 modified "2023-10-03" @default.
- W2801358294 title "Bishop Frames and Reference Frames Along the Discretized Curve" @default.
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- W2801358294 doi "https://doi.org/10.1007/978-3-319-76965-3_4" @default.
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