In order to model blending surfaces with curvature continuity, in this paper we apply sixth order partial differential equations (PDEs), which are solved with a composite power series based method. The proposed composite power series based approach meets boundary conditions exactly, minimises the errors of the PDEs, and creates almost as accurate blending surfaces as those from the closed form ...

Variational formulations of three fourth order geometric partial differential equations are derived, and based on which mixed finite element methods are presented for constructing G smooth B-spline surfaces. Solutions to several surface modeling problems, including surface fairing, free-form surface design, surface blending and hole filling with G continuity, are handled by this approach. Exper...

In this paper Open-loop optimal control method is proposed as an approach for trajectory optimization of flexible mobile manipulator for a given two-end-point task in point-to-point motion Dynamic equations are derived using combined Euler–Lagrange formulation and assumed modes method. To solve the optimal control problem an indirect method via establishing the Hamiltonian function and deriving...

A general review of the extended finite element method and its application to the simulation of first-order phase transitions is provided. Detailed numerical investigations are then performed by focusing on the one-dimensional case and studying: (i) spatial and temporal discretisations, (ii) different numerical techniques for the interface-condition enforcement, and (iii) different treatments f...

A closed-form dynamic model of the planar multi-link flexible manipulator is presented. The assumed modes method used with Lagrangian formulation to obtain equations motion. Explicit motion are derived for a three-link case assuming two vibration each link. eigenvalue problem associated mass boundary conditions, which changes robot configuration and payload, discussed. time-domain simulation re...

A method to migrate a task dynamically from a virtual SPMD machine to a virtual SIMD machine is proposed. It is assumed that the SIMD and SPMD virtual machine models only differ to support the different modes of parallelism, and that the program was coded in a modeindependent programming language. The migration pro­ cedure does not require the SPMD PEs to be at the same location in the SPMD pro...

this study investigates natural frequency analysis of an fg composite rectangular plate partially contacting with a bounded fluid. the material properties are assumed to be varying continuously through the thickness direction according to a simple power law distribution in terms of volume fraction of material constituents. wet dynamic transverse displacements of the plate are approximated by a ...

Stiffness matrix of the four-node quadrilateral plane stress element is decomposed into normal and shear components. A computer program is developed to obtain the straining modes using adequate and reduced integration. Then a solution for the problem of mixing straining modes is found. Accuracy of the computer program is validated by a closed-form stiffness matrix, derived for the plane rectang...

foundations behavior is affected by soil behavior which can vary from dilative to contractive depending on the stress level, particularly in dense frictional soils. the zero extension lines (zel) method has been generally developed to predict the foundations behavior. knowledge of soil behavior enables the zel method to predict the general and local shear failure modes. in this paper, a relativ...