The main objective of this paper is to study the Euclidean displacement of a 5-DOF parallel mechanism performing three translation and two independent rotations with identical limb structures-recently revealed by performing the type synthesis-in a higher dimensional projective space, rather than relying on classical recipes, such as Cartesian coordinates and Euler angles. In this paper, Study's...

Of concern are traveling wave solutions for the fractional Kadomtsev–Petviashvili (fKP) equation. The existence of periodically modulated solitary is proved by dimension-breaking bifurcation. Moreover, line and their transverse (in)stability discussed. Analogous to classical Kadmomtsev–Petviashvili (KP) equation, fKP equation comes in two versions: fKP-I fKP-II. We show that waves transversely ...

This paper presents the kinematic analysis and the development of a 4-degree-of-freedom serial-parallel mechanism for large commercial vehicle driving simulators. The degrees of freedom are selected according to the target maneuvers and the structure of human motion perception organs. Several kinematic properties of parallel part of the mechanism under study are investigated, including the inve...

In this paper two methods are presented. The first is a kinematic evaluation method for two different hexapod structures: standard Stewart platform manipulator with extensible struts and second structure with fixed strut lengths but sliding guideways on fixed platform. The second method addresses the forward kinematic problem where different mathematical representations are combined with variou...

This paper considers knapsack problem with fuzzy weights, says fuzzy knapsack problem (FKP). Here we introduce possibility index which gives the possibility of choosing the items with fuzzy weights for knapsack with crisp capacity. In this paper a dynamic programming technique has been introduced to optimize the utility value of objective function. An algorithm has been proposed which gives the...

Biometrics authentication is an effective method for automatically recognizing a person’s identity. Recently, it has been found that the finger–knuckle-print (FKP), which refers to the inherent skin patterns of the outer surface around the phalangeal joint of one’s finger, has high capability to discriminate different individuals, making it an emerging biometric identifier. In this paper, based...

The grade of membership (GoM) model uses fuzzy sets as memberships of each individual to extreme profiles (or classes) on the likelihood function of multivariate multinomial distributions. The GoM clustering algorithm derived from the GoM model is used in cluster analysis for categorical data, but it is iterated with complicated calculations. In this paper we create another approach, termed a f...

A kinematic mapping of planar displacements is used to derive generalized constraint equations having the form of ruled quadric surfaces in the image space. The forward kinematic problem for all three legged, three degree of freedom planar parallel manipulators thus reduces to determining the points of intersection of three of these constraint surfaces, one corresponding to each leg. The invers...

relationships in such a way as to yield a system of equations which describes the velocity and angular velocity of the manipulated object as functions of the robot's joint velocities. The inverse kinematic problem results in a system of equations describing the joint velocities as functions of the object's translational and angular velocities. In both cases it is assumed that the positions of t...

This article investigates the forward kinematics problem formulation and resolution specifically applied to spatial parallel manipulators which allow only for translationnal displacements of the end-effector. The translation manipulator is usually constituted of three to six kinematics chains with three actuators usually located on the base. These mechanisms are designed to prevent any rotation...