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Details for:
Brannon R. Rotation, Reflection, and Frame Changes...2018
brannon r rotation reflection frame changes 2018
Type:
E-books
Files:
1
Size:
49.0 MB
Uploaded On:
Jan. 27, 2022, 12:47 p.m.
Added By:
andryold1
Seeders:
2
Leechers:
0
Info Hash:
5C14CC680AC9A02FD7848A9E29D27C97ECB6C9B4
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Textbook in PDF format Whilst vast literature is available for the most common rotation-related tasks such as coordinate changes, most reference books tend to cover one or two methods, and resources for less-common tasks are scarce. Specialized research applications can be found in disparate journal articles, but a self-contained comprehensive review that covers both elementary and advanced concepts in a manner comprehensible to engineers is rare. Rotation, Reflection, and Frame Changes surveys a refreshingly broad range of rotation-related research that is routinely needed in engineering practice. By illustrating key concepts in computer source code, this book stands out as an unusually accessible guide for engineers and scientists in engineering mechanics. Introduction Notation and tensor analysis essentials Orthogonal basis and coordinate transformations Rotation operations Axis and angle of rotation Rotations contrasted with reflections Quaternion representation of a rotation Dyadic form of an invertible linear operator Sequential rotations Series expression for a rotation Spectrum of a rotation Polar decomposition Strain measures Remapping, advecting, or interpolating rotations Rates and other derivatives of rotation Variations of tensor-valued functions of scalars and vectors Statistics of random orientation Introduction to material and tensor symmetries Frame indifference Tensor symmetry (not material symmetry) Scalars and invariants PMFI for incremental constitutive models Rigid-body mechanics Pseudo-body force for spinning problems Computer graphics visualization Voigt and Mandel components Higher-order rotations Closing remarks
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Brannon R. Rotation, Reflection, and Frame Changes...2018.pdf
49.0 MB
