Results 61 to 70 of about 2,182,834 (296)

Spherical functions on the de Sitter group

, 2006
Matrix elements and spherical functions of irreducible representations of the de Sitter group are studied on the various homogeneous spaces of this group. It is shown that a universal covering of the de Sitter group gives rise to quaternion Euler angles.
Agamaliev A K, Appell P, Dixmier J, Exton H, Gel'fand I M, Gel'fand I M, Gel'fand I M, Helgason S, Karoubi M, Klimyk A U, Naimark M A, Rozenfel'd B A, Ström S, Takahashi R, V V Varlamov, Varlamov V V, Varlamov V V, Varlamov V V, Ya Vilenkin N, Ya Vilenkin N   +19 more
core   +2 more sources

Lagrangian Mechanics and Variational Integrators on Two-Spheres [PDF]

, 2007
Euler-Lagrange equations and variational integrators are developed for Lagrangian mechanical systems evolving on a product of two-spheres. The geometric structure of a product of two-spheres is carefully considered in order to obtain global equations of ...
Lee, Taeyoung, Leok, Melvin, McClamroch, N. Harris   +2 more
core   +2 more sources

Direct Laser Writing of Magnetic Micro Actuators With a Stimulus‐Responsive Compliant Hinge

Advanced Materials Technologies, EarlyView.
This study presents a versatile modular design strategy for adaptive 3D microactuators. Using two‐photon‐induced C,H insertion reactions within solid polymer layers, chemically distinct hinge and stimulus responsive materials are patterned in one step. The hinge's properties enable tunable motion, mechanical control, and reconfigurable actuation across
Eleonora Galli, Nicolas Geid, Yizheng Liu, Friederike Strahl, Jürgen Rühe   +4 more
wiley   +1 more source

EQUATIONS OF SPATIAL MOTION OF A SOLID BODY WITH MOLDABLE FASTENING TO THE FOUNDATION (THE TASK OF DEPRECIATION IN SPACE)

Авіаційно-космічна техніка та технологія, 2020
The task of fastening equipment, especially ship equipment, is considered important in conditions of vibration and shock. Equipment can be mounted on shock absorbers.
Андрей Александрович Тарасенко, Александр Иванович Тарасенко   +1 more
doaj   +1 more source

From Strain to Pressure: Atomically Resolved Mechanisms of Stress Dissipation in Emissive, Elastically Deformable Molecular Crystals Under Ambient and High Pressure

Advanced Optical Materials, EarlyView.
Molecular crystals must withstand both isotropic and anisotropic stress to function in flexible optoelectronics and high‐pressure devices. In situ high‐pressure single‐crystal X‐ray diffraction coupled with DFT‐D computations reveal how an emissive molecular crystal with interdigitated packing bends elastically at ambient‐pressure and remains ...
Arif H. Dar, Vikram C. Joshi, Alexandra Longcake, Tamador Alkhidir, Ayat Al Nimer, Praveen B. Managutti, Shamraiz H. Talib, Jaime Viegas, Michael R. Probert, Changquan C. Sun, Sharmarke Mohamed   +10 more
wiley   +1 more source

Teleoperation of robots carrying current intensity via electromagnetic fields – A quantum mechanical analysis

Results in Physics, 2019
The master robot carries a current which is modeled as the sum of a classical current Jmc(t,r) and a quantum fluctuation current described by the Dirac field ψm(t,r) of electrons and positrons.
Rohit Singla, Harish Parthasarathy
doaj   +1 more source

Geometrically exact planar Euler-Bernoulli beam and time integration procedure for multibody dynamics

Advanced Modeling and Simulation in Engineering Sciences, 2020
A new formulation of geometrically exact planar Euler-Bernoulli beam in multi-body dynamics is proposed. For many applications, the use of the Euler-Bernoulli model is sufficient and has the advantage of being a nodal displacement-only formulation ...
Carlo Sansour, Tien Long Nguyen, Mohammed Hjiaj, Sophy Chhang   +3 more
doaj   +1 more source

Geometric Phases generated by the non-trivial spatial topology of static vector fields coupled to a neutral spin-endowed particle. Application to 171Yb atoms trapped in a 2D optical lattice

, 2012
We have constructed the geometric phases emerging from the non-trivial topology of a space-dependent magnetic field, interacting with the spin magnetic moment of a neutral particle.
Bouchiat M-A, Claude Bouchiat, Cohen-Tannoudji C, Cooper N R, Feynman R P, Gerbier F Dalibard J, Górecka A Grémaud B Miniatura C, Jaksch D, Marie-Anne Bouchiat, Weinberg S   +9 more
core   +1 more source

Multiobjective Codesign Optimization of a Planar Pneumatic Artificial Muscle‐Based Snake‐Like Robot for Enhanced Agility and Energy Efficiency

Advanced Robotics Research, EarlyView.
A codesign multiobjective optimization framework was developed to enhance the morphology and controller of a snake‐like robot driven by artificial muscles. It improved planar locomotion, agility, and power efficiency. The approach optimized link geometry and controller gains, revealing that shorter muscles near joints and longer linkages maximize ...
Ayla Valles, Mahdi Haghshenas‐Jaryani
wiley   +1 more source

Mathematical model of rigid body motion for the research of the “Dzhanibekov's effect”

Propulsion and Power Research
An alternative set of angles for determining the position of a rigid body, instead of Euler angles, is proposed. These angles were used to model the motion of a rigid body (rotor) rotating around a horizontal axis.
Oleksandr I. Tarasenko, Andrej O. Tarasenko, Oleksandr O. Tarasenko   +2 more
doaj   +1 more source