2.1 Principles of Inertial Sensors A coordinate system must be defined prior to deployment of an inertial sensor for body motion measurement. If the origin of a moving coordinate system has acceleration (A0) and rotates with a gyroscopic angular velocity (ω), and if a mass (m) has the position vector (r0) and the velocity (u0) with respect to the moving coordinate system, then the inertial forc...

Within the general axially nonadiabatic channel approach described in Paper I of this series [M. Auzinsh, E. I. Dashevskaya, I. Litvin, E. E. Nikitin, and J. Troe, J. Chem. Phys. 139, 084311 (2013)], the present article analyzes the simultaneous manifestation of electrostatic and gyroscopic interactions in the quantum capture of dipolar polarizable symmetric top molecules by ions. As a demonstr...

We consider the numerical solution of quadratic eigenproblems with spectra that exhibit Hamiltonian symmetry. We propose to solve such problems by applying a Krylov-Schur-type method based on the symplectic Lanczos process to a structured linearization of the quadratic matrix polynomial. In order to compute interior eigenvalues, we discuss several shift-and-invert operators with Hamiltonian str...

Thermal effect is a crucial factor leading to failure of gear system. However, the lack comprehensive nonlinear dynamics model limits further study thermal effects. The constitutive relation beam element considering steady-state temperature reconstructed, and node load formulated. Considering influences expansion on material properties, more dynamic gear-rotor-bearing system established based f...

Steering a motorcycle or bicycle is counterintuitive; to turn right, you must steer left initially, and vice versa. You can execute this initially counter-directed turn by turning the handlebars explicitly ~called counter-steering! or by throwing your hips to the side. Contrary to common belief, gyroscopic forces play only a limited role in balancing and steering @D. E. H. Jones, Phys. Today 23...

1) J. Paulose, A. Meunnissen, V. Vitelli, “Selective buckling via states of self-stress in topological metamaterials,” arXiv:1502.03396 2) Z. Yang F. Gao, X. Shi, X. Lin, Z. Gao, Y. Chong, B. Zhang, “Topological Acoustics,” Phys. Rev. Lett. 114, 114301 (2015). 3) L.M. Nash, D. Kleckner, A. Read, V. Vitelli, A.M. Turner, W.T.M. Irvine, “Topological mechanics of gyroscopic metamaterials,” arXiv:1...

Given an undamped gyroscopic system GðλÞ 1⁄4 Mλ þ CλþK with M , K symmetric and C skew-symmetric, this paper presents a real-valued spectral decomposition of GðλÞ by a real standard pair ðX;TÞ and a skew-symmetric parameter matrix S . When T is assumed to be a block diagonal matrix, the parameter matrix S has a special structure. This spectral decomposition is applied to solve the quadratic inv...