Alexandre Kawano
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View article: Uniqueness results for the Timoshenko beam model and identification of forces
Uniqueness results for the Timoshenko beam model and identification of forces Open
View article: Recent results on prey detection in a spider orb web
Recent results on prey detection in a spider orb web Open
In this paper, we present a review of some results concerning the inverse problem of detecting a prey in a spider orb web. First, an overview of the discrete and numerical models in the literature is provided to understand the mechanics of…
View article: Reconstruction of shear force in Atomic Force Microscopy from measured displacement of the cone-shaped cantilever tip
Reconstruction of shear force in Atomic Force Microscopy from measured displacement of the cone-shaped cantilever tip Open
We present a new comprehensive mathematical model of the cone-shaped cantilever tip-sample interaction in Atomic Force Microscopy (AFM). The importance of such AFMs with cone-shaped cantilevers can be appreciated when its ability to provid…
View article: Elementos principais da geometria descritiva
Elementos principais da geometria descritiva Open
A Geometria Descritiva tem como objetivo representar objetos tridimensionais em planos bidimensionais, utilizando projeções de elementos geométricos como pontos e retas. É baseada em um conjunto de princípios que permitem representar a for…
View article: Exponential stability of damped Euler-Bernoulli beam controlled by boundary springs and dampers
Exponential stability of damped Euler-Bernoulli beam controlled by boundary springs and dampers Open
In this paper, the vibration model of an elastic beam, governed by the damped Euler-Bernoulli equation $ρ(x)u_{tt}+μ(x)u_{t}$$+\left(r(x)u_{xx}\right)_{xx}=0$, subject to the clamped boundary conditions $u(0,t)=u_x(0,t)=0$ at $x=0$, and th…
View article: On Isospectral Composite Beams
On Isospectral Composite Beams Open
We consider a composite system consisting of two identical straight elastic beams under longitudinal vibration connected by an elastic interface capable of counteracting the relative vibration of the two beams with its shearing stiffness. …
View article: Reconstruction of shear force in Atomic Force Microscopy from measured displacement of the cone-shaped cantilever tip
Reconstruction of shear force in Atomic Force Microscopy from measured displacement of the cone-shaped cantilever tip Open
In this paper, a dynamic model of reconstruction of the shear force $g(t)$ in the Atomic Force Microscopy (AFM) cantilever tip-sample interaction is proposed. The interaction of the cone-shaped cantilever tip with the surface of the specim…
View article: Probabilidades: um curso básico de reoferecimento
Probabilidades: um curso básico de reoferecimento Open
Esta obra apresenta a disciplina de probabilidades em um status especial entre as demais em um curso de engenharia. Sua posição pode ser compreendida quando contemplamos o desenvolvimento das ciências aplicadas ao longo da história. Todas …
View article: Reconstructing Loads in Nanoplates from Dynamic Data
Reconstructing Loads in Nanoplates from Dynamic Data Open
It was recently proved that the knowledge of the transverse displacement of a nanoplate in an open subset of its mid-plane, measured for any interval of time, allows for the unique determination of the spatial components {fm(x,y)}m=1M of t…
View article: Coletânea de artigos sobre probabilidade básica
Coletânea de artigos sobre probabilidade básica Open
Este livro contém cinco artigos escritos no período que o autor denomina como "de reclusão", durante a pandemia de Covid-19, em 2020. Cada um dos artigos tem foco em um grande fundamento da teoria. O primeiro artigo tem como tema a enumera…
View article: Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation
Uniqueness result for Almost Periodic Distributions depending on time and space and an application to the unique continuation for the wave equation Open
Let $Ω\subset \mathbb{R}^N$, $N=1,2,3$, be an open bounded and connected set with continuous piecewise $\mathrm{C}^{\infty}$ boundary. Here we deal with almost periodic distributions of the form $u(t,x)=\sum_{n=0}^{+\infty} c_n S_n(x) \mat…
View article: A uniqueness result on detecting a prey in a spider orb-web
A uniqueness result on detecting a prey in a spider orb-web Open
We consider the inverse problem of localizing a prey hitting a spider orb-web from dynamic measurements taken near the center of the web, where the spider is supposed to stay. The actual discrete orb-web, formed by a finite number of radia…
View article: Detecting a Prey in a Spider Orb Web
Detecting a Prey in a Spider Orb Web Open
We consider the inverse problem of localizing a prey hitting a spider Orb Web from dynamic measurements taken near the center of the web, where the spider is supposed to stay. The actual discrete Orb Web, formed by a finite number of radia…
View article: Uniqueness in the determination of loads in multi-span beams and plates
Uniqueness in the determination of loads in multi-span beams and plates Open
Most of the results available on the inverse problem of determining loads acting on elastic beams or plates under transverse vibration refer to single beam or single plate. In this paper, we consider the determination of sources in multi-s…