Hysteresis phenomena in transverse galloping of triangular cross-section bodies

A Critical Characteristic in the Transverse Galloping Pattern

Transverse gallop is a common gait used by a large number of quadrupeds. This paper employs the simplified dimensionless quadrupedal model to discuss the underlying mechanism of the transverse galloping pattern. The model is studied at different running speeds and different values of leg stiffness, respectively. If the horizontal running speed reaches up to a critical value at a fixed leg stiff...

On the galloping instability of two-dimensional bodies having elliptical cross-sections

The Transverse Cross Section in Exclusive Vector Meson Production

Exclusive production of vector mesons at HERA has attracted a lot of attention in recent years because of the theoretical suggestion that this is a good way to measure the gluon distribution, as simple arguments 1 suggest that the cross section behaves as the square of xg(x). Recently, these arguments have been formalised and extended by Collins, Frankfurt and Strikman in the context of a facto...

QCD Factorized Drell-Yan Cross Section at Large Transverse Momentum

We derive a new factorization formula in perturbative quantum chromodynamics for the Drell-Yan massive lepton-pair cross section as a function of the transverse momentum QT of the pair. When QT is much larger than the pair’s invariant mass Q, this factorization formula systematically resums the logarithmic contributions of the type αs ln (QT /Q 2) to all orders in the strong coupling αs. When Q...

The Cross-section Body, Plane Sections of Convex Bodies and Approximation of Convex Bodies, Ii*

We compare the volumes of projections of convex bodies and the volumes of the projections of their sections, and, dually, those of sections of convex bodies and of sections of their circumscribed cylinders. For L ⊂ R a convex body, we take n random segments in L and consider their ‘Minkowski average’ D. For fixed n, the pth moments of V (D) (1 ≤ p < ∞) are minimized, for V (L) fixed, by the ell...