Brannon R. Rotation, Reflection, and Frame Changes...2018 torrent

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