Physically Motivated Model of a Painting Brush for Robotic Painting and Calligraphy

A Karimov, M Strelnikov, S Mazin, D Goryunov… - Robotics, 2024 - mdpi.com
Robot artistic painting and robot calligraphy do require brush models for brushstroke
simulation and painting robot control. One of the main features of the brush is its compliance …

[HTML][HTML] Vibration modes of the Euler–Bernoulli beam equation with singularities

NC Dias, C Jorge, JN Prata - Journal of Differential Equations, 2024 - Elsevier
We consider the time dependent Euler–Bernoulli beam equation with discontinuous and
singular coefficients. Using an extension of the Hörmander product of distributions with non …

Stochastic parabolic equations with singular potentials

S Gordić, T Levajković, L Oparnica - Chaos, Solitons & Fractals, 2021 - Elsevier
In this work we consider a class of stochastic parabolic equations with singular space
depending potential, random driving force and random initial condition. For the analysis of …

The Euler-Bernoulli equation with distributional coefficients and forces

R Blommaert, S Lazendić, L Oparnica - Computers & Mathematics with …, 2022 - Elsevier
In this work we investigate a very weak solution to the initial-boundary value problem of an
Euler-Bernoulli beam model. We allow for bending stiffness, axial-and transversal forces as …

Generalized solutions for the Euler–Bernoulli model with Zener viscoelastic foundations and distributional forces

G Hörmann, S Konjik, L Oparnica - Analysis and Applications, 2013 - World Scientific
We study the initial-boundary value problem for an Euler–Bernoulli beam model with
discontinuous bending stiffness laying on a viscoelastic foundation and subjected to an axial …

[HTML][HTML] Ordinary differential equations with point interactions: An inverse problem

NC Dias, C Jorge, JN Prata - Journal of Mathematical Analysis and …, 2019 - Elsevier
Given a linear ordinary differential equation (ODE) on R and a set of interface conditions at a
finite set of points I⊂ R, we consider the problem of determining another differential …

Ordinary differential equations with singular coefficients: an intrinsic formulation with applications to the Euler–Bernoulli beam equation

NC Dias, C Jorge, JN Prata - Journal of Dynamics and Differential …, 2021 - Springer
We study a class of linear ordinary differential equations (ODEs) with distributional
coefficients. These equations are defined using an intrinsic multiplicative product of …

[PDF][PDF] Multiplication of distributions

R Blommaert - libstore.ugent.be
The theory of distributions has shown over time its importance and has numerous
applications in science and engineering. Specifically the fields of partial differential …