Introducing the Logarithmic finite element method: a geometrically exact planar Bernoulli beam element

We propose a novel finite element formulation that significantly reduces the number of degrees of freedom necessary to obtain reasonably accurate approximations of the low-frequency component of the deformation in boundary-value problems. In contrast to the standard Ritz–Galerkin approach, the shape functions are defined on a Lie algebra—the logarithmic space—of the deformation function. We construct a deformation function based on an interpolation of transformations at the nodes of the finite element. In the case of the geometrically exact planar Bernoulli beam element presented in this work, these transformation functions at the nodes are given as rotations. However, due to an intrinsic coupling between rotational and translational components of the deformation function, the formulation provides for a good approximation of the deflection of the beam, as well as of the resultant forces and moments. As both the translational and the rotational components of the deformation function are defined on the logarithmic space, we propose to refer to the novel approach as the “Logarithmic finite element method”, or “LogFE” method.

Report on the Status of Findings and Recommendations from the City of Bertram’s Periodic Examination Report dated August 27, 2014 for the period August 1, 2015 through July 31, 2016

Report on the Status of Findings and Recommendations from the City of Bertram’s Periodic Examination Report dated August 27, 2014 for the period August 1, 2015 through July 31, 2016

Report on the Status of Findings and Recommendations from the City of Olin’s Periodic Examination Report dated November 17, 2014 for the period June 1, 2015 through April 30, 2016

Report on the Status of Findings and Recommendations from the City of Olin’s Periodic Examination Report dated November 17, 2014 for the period June 1, 2015 through April 30, 2016

Report on the Status of Findings and Recommendations from the City of Kelley’s Periodic Examination Report dated December 11, 2014 for the period April 1, 2015 through March 31, 2016

Report on the Status of Findings and Recommendations from the City of Kelley’s Periodic Examination Report dated December 11, 2014 for the period April 1, 2015 through March 31, 2016

Report on the Status of Findings and Recommendations from the City of Low Moor’s Periodic Examination Report dated November 13, 2014 for the period November 1, 2015 through July 31, 2016

Report on the Status of Findings and Recommendations from the City of Low Moor’s Periodic Examination Report dated November 13, 2014 for the period November 1, 2015 through July 31, 2016

Report on the Status of Findings and Recommendations on the City of Randalia’s Periodic Examination Report dated March 25, 2015

Report on the Status of Findings and Recommendations on the City of Randalia’s Periodic Examination Report dated March 25, 2015

Report on the Status of Findings and Recommendations from the City of Gilman’s Periodic Examination Report dated October 10, 2014 for the period June 1, 2015 through February 29, 2016

Report on the Status of Findings and Recommendations from the City of Gilman’s Periodic Examination Report dated October 10, 2014 for the period June 1, 2015 through February 29, 2016

Report on the Status of Findings and Recommendations on the City of Kimballton’s Periodic Examination Report dated August 11, 2014 for the period December 1, 2015 through May 31, 2016

Report on the Status of Findings and Recommendations on the City of Kimballton’s Periodic Examination Report dated August 11, 2014 for the period December 1, 2015 through May 31, 2016

Report on the Status of Findings and Recommendations from the City of Harper’s Periodic Examination Report dated December 15, 2014 for the period December 1, 2015 through May 31, 2016

Report on the Status of Findings and Recommendations from the City of Harper’s Periodic Examination Report dated December 15, 2014 for the period December 1, 2015 through May 31, 2016

Report on the Status of Findings and Recommendations on the City of Derby’s Periodic Examination Report dated August 27, 2014 for the period April 1, 2015 through March 31, 2016

Report on the Status of Findings and Recommendations on the City of Derby’s Periodic Examination Report dated August 27, 2014 for the period April 1, 2015 through March 31, 2016

Convergence time to equilibrium distributions of autonomous and periodic non-autonomous graphs

We present some estimates of the time of convergence to the equilibrium distribution in autonomous and periodic non-autonomous graphs, with ergodic stochastic adjacency matrices, using the eigenvalues of these matrices. On this way we generalize previous results from several authors, that only considered reversible matrices.

Acoustic Propagation over Periodic and Quasi-Period Rough Surfaces Proceedings

Numerical techniques such as the Boundary Element Method, Finite Element Method and Finite Difference Time Domain have been used widely to investigate plane and curved wave-front scattering by rough surfaces. For certain shapes of roughness elements (cylinders, semi-cylinders and ellipsoids) there are semi-analytical alternatives. Here, we present a theory for multiple scattering by cylinders on a hard surface to investigate effects due to different roughness shape, the effects of vacancies and variation of roughness element size on the excess attenuation due to a periodically rough surfaces.

Radiation characteristics enhancement of planar structures using metasurfaces

In this thesis, the focus is on utilizing metasurfaces to improve radiation characteristics of planar structures. The study encompasses various aspects of metasurface applications, including enhancing antenna radiation characteristics and manipulating electromagnetic (EM) waves, such as polarization conversion and anomalous reflection. The thesis introduces the design of a single-port antenna with dual-mode operation, integrating metasurfaces. This antenna serves as the front-end for a next-generation tag, functioning as a position sensor with identification and energy harvesting capabilities. It operates in the lower European Ultra-Wideband (UWB) frequency range for communication/localization and the UHF band for wireless energy reception. The design aims for a low-profile stack-up that remains unaffected by background materials. Researchers worldwide are drawn to metasurfaces due to their EM wave manipulation capabilities. The thesis also demonstrates how a High-Impedance Surface (HIS) can enhance the antenna's versatility through metasurface application, including conformal design using 3D-printing technology, ensuring adaptability for various deformation and tracking/powering scenarios. Additionally, the thesis explores two distinct metasurface applications. One involves designing an angularly stable super-wideband Circular Polarization Converter (CPC) operating from 11 to 35GHz with an impressive relative impedance bandwidth of 104.3%. The CPC shows a stable response even at oblique incidences up to 40 degrees, with a Peak Cross-Polarization Ratio (PCR) exceeding 62% across the entire band. The second application focuses on an Intelligent Reflective Surface (IRS) capable of redirecting incoming waves in unconventional directions. Tunability is achieved through an artificially developed ferroelectric material (HfZrO) and distributed capacitive elements (IDC) to fine-tune impedance and phase responses at the meta-atom level. The IRS demonstrates anomalous reflection for normal incident waves. These innovative applications of metasurfaces offer promising advancements in antenna design, EM wave manipulation, and versatile wireless communication systems.

Experimental characterization of a planar jet by hot-wire anemometry

The study of turbulence is also nowadays a problem that does not have solution from the mathematical point of view due to the lack of solution to link the mean part of the flow with the fluctuating one. To solve this problem, in the CICLoPE laboratory of Predappio, experiments on different type of jets are performed in order to derive a closure model able to close our mathematical model. One of the most interesting type of jet that could be studied is the planar turbulent free jet which is a two dimensional canonical jet characterized by the self-similarity condition of the velocity profiles. To study this particular jet, a new facility was built. The aim of this project is to characterize the jet at different distances from the nozzle exit, for different values of Reynolds number, to demonstrate that the self-similarity condition is respected. To do that, the evaluation of quantities such as spreading rate, centerline velocity decay and relation between fluctuations and mean part of the flow has to be obtain. All these parameters could be detected thanks to the use of single and X hot-wire anemometry with which it is possible to analyzed the fluctuating behaviour of the flow by associating to an electric signal a physical variable expressed in terms of velocity. To justify the data obtain by the measures, a comparison with results coming from the literature has to be shown.