This article presents the inverse and forward pose and rate kinematics solutions for a novel 6-dof platform manipulator, actuated by two base-mounted spherical actuators. The moving platform is connected to the fixed base by two identical SPU serial chain legs. The S-joint is active, and the remaining two joints in each chain are passive. An analytical solution is presented for the inverse pose...

Abstract—Control of a semi-batch polymerization reactor using an adaptive radial basis function (RBF) neural network method is investigated in this paper. A neural network inverse model is used to estimate the valve position of the reactor; this method can identify the controlled system with the RBF neural network identifier. The weights of the adaptive PID controller are timely adjusted based ...

Nuclear density functional theory (DFT) is one of the main theoretical tools used to study the properties of heavy and superheavy elements, or to describe the structure of nuclei far from stability. While on-going efforts seek to better root nuclear DFT in the theory of nuclear forces [see Duguet et al., this issue], energy functionals remain semi-phenomenological constructions that depend on a...

This paper analyses the construction of the kernel graph of a non-synchronizing transformation semigroup and introduces the inverse synchronization problem. Given a transformation semigroup S ≤ Tn, we construct the kernel graph Gr(S) by saying v and w are adjacent, if there is no f ∈ S with vf = wf . The kernel graph is trivial or complete if the semigroup is a synchronizing semigroup or a perm...

Many natural phenomena can be modeled by a second-order dynamical system M ÿ+Cẏ+Ky = f(t), where y(t) stands for an appropriate state variable and M , C, K are time-invariant, real and symmetric matrices. In contrast to the classical inverse vibration problem where a model is to be determined from natural frequencies corresponding to various boundary conditions, the inverse mode problem concern...

Abstract A variational principle is established by the semi-inverse method and used to solve approximately a nonlinear problem Ritz method. In this process,it may be difficult large system of algebraic equations,the Groebner bases theory (Buchberger’s algorithm) applied problem. The results show that approach much simpler more efficient.

An inverse problem of wave propagation into a weakly laterally inhomogeneous medium occupying a half-space is considered in the acoustic approximation. The half-space consists of an upper layer and a semi-infinite bottom separated with an interface. An assumption of a weak lateral inhomogeneity means that the velocity of wave propagation and the shape of the interface depend weakly on the horiz...

For the whole class of linear term rewriting systems, we define bottomup rewriting which is a restriction of the usual notion of rewriting. We show that bottom-up rewriting effectively inverse-preserves recognizability and analyze the complexity of the underlying construction. The BottomUp class (BU) is, by definition, the set of linear systems for which every derivation can be replaced by a bo...

Inverse modeling is a powerful tool for extracting information about the subsurface from geophysical data. Geophysical inverse problems are inherently multidisciplinary, requiring elements from the relevant physics, numerical simulation, and optimization, as well as knowledge of the geologic setting, and a comprehension of the interplay between all of these elements. The development and advance...

In this paper the performance of Artificial Neural Networks (ANNs) and Adaptive NeuroFuzzy Inference Systems (ANFIS) in simulating the inverse dynamic behavior of MagnetoRheological (MR) dampers is investigated. MR dampers are one of the most applicable methods in semi active control of seismic response of structures. Various mathematical models are introduced to simulate the dynamic behavior o...