where x is a vector of displacements of structural coordinates, M is a positive definite mass matrix, C is a non-negative definite damping matrix, and K is a non-negative definite stiffness matrix. The nonlinear restoring forces are given in R(x, ẋ) and f ext(t) is a vector of external dynamic loads. At any point in time, t = ti+1 = (i+ 1)h, we may solve for the accelerations in terms of the di...

in the present time, phenomenon like globalization, regionalism and economic integration are the basic issues which bring many positive consequences to the world economy. regionalism and economic integration are one of the ways that developing countries can adopt to collate the globalization process. to acknowledge their own abilities or, to settle the commercial and economic disputes in their ...

We intend to present an approximate analytic solution of the two-body problem with slowly decreasing mass which is obtained through the integration of the Hamilton equations using A. Deprit’s method of perturbations. The solution, obtained through the law of mass variation ṁ = −αmn is put into practice in a specific case and compared with F. Mestschersky’s exact equation (n = 2) and with that w...

The conservative dephasing effects of gravitational self forces for extreme mass-ratio inspirals are studied. Both secular and non-secular conservative effects may have a significant effect on LISA waveforms that is independent of the mass ratio of the system. Such effects need to be included in generated waveforms to allow for accurate gravitational wave astronomy that requires integration tim...

Inflationary models driven by a large number of axion fields are discussed in the context of type IIB compactifications with N = 1 supersymmetry. The inflatons arise as the scalar modes of the R-R two-forms evaluated on vanishing two-cycles in the compact geometry. The vanishing cycles are resolved by small two-volumes or NS-NS B-fields which sit together with the inflatons in the same supermul...

We discuss a solution of the equations of motion of five-dimensional gauged type IIB supergravity that describes confining SU(N) gauge theories at large N and large ’t Hooft parameter. We prove confinement by computing the Wilson loop, and we show that our solution is generic, independent of most of the details of the theory. In particular, the Einstein-frame metric near its singularity, and th...