Implementation of a Thermomechanical Model for Journal Bearings Using p‐FEM
ABSTRACT Hydrodynamic journal bearings are essential machine parts that are used for applications with high rotational speeds. Their precise simulation requires the consideration of thermomechanical interactions between solids and fluid. During operation, the shear stresses in the fluid (lubricant film heights: 5–100 μm${\umu }\mathrm{m}$), lead to ...
Fabian Schmidtchen +4 more
wiley +1 more source
Stabilized Finite Elements for Incompressible, Stationary Navier–Stokes Flows on Manifolds
ABSTRACT A surface finite element method with residual‐based stabilization for stationary Navier–Stokes flows on curved manifolds is introduced. The mixed formulation in stress‐divergence form leads to a system of equations that has a saddle‐point structure.
Michael Wolfgang Kaiser +1 more
wiley +1 more source
Numerical solution of potential problems using radial basis reproducing kernel particle method
The paper presents the radial basis reproducing kernel particle method (RRKPM) for potential problems. The proposed RRKPM can eliminate the negative effect of different reproducing kernel functions (RKF) on computational stability and accuracy.
Hongfen Gao, Gaofeng Wei
doaj +1 more source
Two Scale FE‐FFT‐Based Modeling of Cancellous Bone
ABSTRACT Osteoporosis is characterized by a loss of volume percentage of cortical bone, which reduces the loading capacity of this organ and increases its likelihood for fractures. The disease has the highest prevalence of any bone disease worldwide, with a particularly high incidence among the elderly.
Mischa Blaszczyk +3 more
wiley +1 more source
On Lagrange-Hermite Interpolation
where Dt d/dt and aj,m is a Kronecker symbol. These conditions are used by Householder [5, pp. 193-195] to derive the formulas for p = 1, 2. The formula for p = 3 is given by Salzer [9]. The solution for n = 0 is given by Taylor's formula. Many authors have reported on the case where p depends on i.
openaire +3 more sources
On Cahn–Hilliard Type Viscoelastoplastic Two‐Phase Flows
ABSTRACT This contribution deals with a model for viscoelastoplastic two‐phase flows of Cahn–Hilliard type. We present the modeling framework for the flow, the notion of a generalized solution, namely the so‐called dissipative solution, and the key ideas of the existence proof.
Fan Cheng +2 more
wiley +1 more source
Simultaneous Inversion for Underactuated Mechanical Systems with Servo‐Constraints
ABSTRACT The dynamic inversion of underactuated mechanical systems can be formulated in the servo‐constraint framework using a set of differential‐algebraic equations (DAEs). In case of a high differentiation index, the inversion‐based feedforward control design poses significant challenges.
Tengman Wang
wiley +1 more source
Interval Root Finding with Extended Lagrange Interpolation
Finding the root is one of the most common problems in scientific disciplines. Due to their increasing importance in a wide variety of practical applications, nonlinear functions are utilized across the entire spectrum of various areas within mathematics,
Yasemin Demirel +2 more
doaj +1 more source
A WSN Layer-Cluster Key Management Scheme Based on Quadratic Polynomial and Lagrange Interpolation Polynomial. [PDF]
Wang X, Yang Z, Feng Z, Zhao J.
europepmc +1 more source
Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems
ABSTRACT It has been shown recently that optimal control problems with the dynamical constraint given by second‐order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach.
Michael Konopik +4 more
wiley +1 more source

