Kinematic excitation

Let the time dependency of the constraint have the form of an additive kinematic excitation... 

Herein, G is the n x rip constraint matrix, K,D M are the stiffness-, damping-and mass matrices, respectively, and z are time dependent kinematical excitations. To keep formulas short we assume u i) = 0. Furthermore, we want to exclude redundant constraints by assuming rank(G) = n. ... 

Krenk S, Flagsberg J (2014) Tuned mass absorber on a flexible structure. J Sound Vib 333(6) 1577—1595 Majcher K, Wojcicki Z (2014) Kinematically excited parametric vibration of a tall building model with a tmd. Part 1 numerical analyses. Arch Civil Mech Eng 14(1) 204-217... 

It is quite astonishing how little observational information is available on the chemistry and kinematics of the Galactic Bulge. A massive and exciting opportunity for the current multi-object spectrographs is being overlooked here. 

Many EDSA studies have shown that, even for small crystals, the observed intensities sometimes can considerably deviate from the kinematical values. This is the case for reflections corresponding to higher orders of strong reflections. These deviations cannot be described by two-beam scattering which implies existence of systematic many-beam interactions. This is a situation when higher and lower orders of a given reflection are excited simultaneously. 

For high order reflections with a large g, the rapid increase in the excitation error away from the Bragg condition results a rapid decrease in diffraction intensity. Under the kinematical condition, the maximum intensity occurs at the Bragg condition, which appears as a straight line within a small convergence angle. 

Rutherford scattering is an elastic event, that is, no excitation of either the projectile or target nuclei occurs. However, due to conservation of energy and momentum in the interaction, the kinetic energy of the backscattered ion is less than that of the incident ion. The relation between these energies is the kinematic factor, K, which is given by the expression... 

The excitation of an atomic beam by electron impact is surprisingly intricate, although little more than momentum and energy conservation is needed for a basic discussion. The kinematics of the excitation process has... 

The reactions to which most attention will be directed in this chapter are simple two, three or four atom systems. Thus they are in or on the border of the domain to which scattering theory has been applied and in which direct kinematic experiments (molecular beam scattering) have been undertaken. We do not propose to review the developments in either of these fields in any detail that has been done by others2,6. Instead, a description will be given of some of the theoretical models that have been applied to exothermic reactions that produce excited products. 

The most satisfactory treatment of the reactions of interest in this chapter is in terms of classical trajectories on potential energy surfaces. They provide a detailed consideration of the reactive interaction (for which the kinematic models are limiting cases7), and provide ample scope for the theoretician to apply his intuition in explaining reactive molecular collisions. Reactions are naturally divided into those which take place on a single surface, usually leading to vibrational excitation, and those which involve two or more surfaces, often leading to electronic excitation. 

The present model is quite surprising in its simplicity and yet the interpretation is very different compared to classical and quantum mechanical pictures. The ansatz Eq. (2) implies that every fundamental quantum particle will occupy one of two quantum states. When the choice is made the associated antiparticle will be indirectly recognized through the kinematical interaction v and the appearance of the length- and time-scale contractions. We do not, therefore, directly experience mirror- (anti-)particles, unless they are bodily excited. Within the present description, we have proposed a generalized quantum description, which transcends classical features as the contraction of scales mentioned above, including also a dynamical formulation of gravitational interactions. 

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