Clearance vs. tolerance for rigid overconstrained assemblies

International audienceIn order to manage quality, companies need to predict performance varia-tions of products due to the manufacturing components deviations. Usually, to enable the assembly of overconstrained mechanical structure, engineers introduce clearance inside joints. We call mechanical assembly, a set of undeformable components connected together by mechanical joints. This paper presents a solution: firstly, to compute the minimum value of clearance for any given components sizes, and, secondly, to simulate variation of the minimum clearance value when the components dimensions vary between two limits. To achieve this goal, a regularized closure function G is defined. It depends on dimensional parameters, u, representing components dimensions, on positional parameters, p, representing components positions and on clearance parameters, j, representing mechanical joints clearance. A constrained optimization problem is solved to determine the minimum clearance value. An imaginative solution based on numerical integration of an ordinary differential equation is proposed to show the clearance variation. The method is designed to be used during the preliminary phase of overcontrained assemblies design. An advantage is the small number of input data unlike the tolerance analysis dedicated software

Título: Suite de Ballet

Orgánico: 2[1.2/pic] 2[1.2/Eh] 2 2 -- 2 2 0 0 -- tmp+2 -- strperc: tambn, triDuración: 12Sumario: Arreglos de Felix Mottl de varias obras escénicas de Rameau.Copia digital. España : Ministerio de Cultura y Deporte. Subdirección General de Coordinación Bibliotecaria, s2021En la port., sello de la casa de venta: `Sociedad Anónima Casa Dotesio. Editorial de Música`Partes: Fl 1, 2, Ob 1, 2, Eh, Cl 1, 2, Bn 1, 2, Hn 1, 2, Tp 1, 2, Tmp, Tri, Tambn, Vn 1(9), Vn 2 (8), Va (5), Vc (5), Db (4)Contiene: Menuett (de la ópera Platée) -- Musette (de la obra F¿tes d'Hébé) -- Tambourin (de F¿tes d'Hebé

Capítulo XVIII do Segundo Livro do “Tratado de Harmonia reduzida aos seus princípios naturais”

The “Treatise on Harmony Reduced to Its Natural Principles” (Traité de l’Harmonie Reduite à Ses Principes Naturels), by Jean-Philippe Rameau, published in the year 1722, is based on the Writing in Four Voices. So much so that the author named each melody a “Voice” (Partie) that, added to other “Voices” make up a Chord, a Cadence, or a Harmonic complex. Despite the fact that the term or a derivative of the term “Voice” appears 141 times in Book Two of the Treatise alone – the Book in which Rameau substantiates his argument about Harmony –, the expression “Music for Choirs” (Choeurs de Musique), which refers to Choral Music, appears only once throughout the entire Treatise. The Chapter in which the expression appears, now is translated here in full: the Chapter XVIII, of the Second Book of the Treatise of Harmony, by Rameau.O “Tratado da Harmonia Reduzida aos Seus Princípios Naturais” (Traité de l’Harmonie Reduite à Ses Principes Naturels), de Jean-Philippe Rameau, publicado no ano de 1722, é fundamentado na Escrita a Quatro Vozes. Tanto assim, que o autor denomina “Voz” (Partie) a cada melodia que, somada a outras “Vozes” compõem um Acorde, uma Cadência, um complexo Harmônico. Apesar de o termo ou um derivado do termo “Voz” aparecerem 141 vezes somente no Livro Segundo do Tratado – o Livro no qual Rameau consubstancia sua argumentação sobre Harmonia –, a expressão “Músicas para Coros” (Choeurs de Musique), que se refere à Música Coral, aparece uma única vez ao longo de todo o Tratado. Traduz-se aqui, na íntegra, o Capítulo em que a expressão aparece: o Capítulo XVIII, do Livro Segundo do Tratado de Harmonia, de Rameau

Dardanus : Airs de ballet : pour orchestre

Orgánico: 2[1.2/pic] 2 0 2 -- strDuración: 11Copia digital. España : Ministerio de Cultura y Deporte. Subdirección General de Coordinación Bibliotecaria, s2021Tít. de la carp.: `Dardanus-Suite 1`Partes: Fl 1 + 2/Pic, 2/Pic (ms.), Ob 1 + 2, 2 (ms.), Bn 1 + 2, 2 (ms.), Vn 1 (8), Vn 2 (7), Va (5), Vc (5), Db (4)Contiene: Suite nº. 1: nº. 1. Entrée. Majestueusement -- nº. 2. Tambourin -- nº. 3. Air grave -- nº. 4. Air vif -- nº. 5. Rondeau gai .-- Suite nº. 2: Entrée. Gracieusement et un peu gai -- nº. 2. Rondeau du sommeil -- nº. 3. Gavotte Gracieuse -- nº. 4. Rigaudo

Musette et Tambourin des Fêtes d'Hébé

Orgánico: 2 2 0 2 -- 2 0 0 0 -- 1perc -- strperc: tambn, triCopia digital. España : Ministerio de Cultura y Deporte. Subdirección General de Coordinación Bibliotecaria, s2021Tít. de la carp.: `Musette et Tambourin`Partes: Fl 1 + 2, Ob 1 + 2, Bn 1 + 2, Hn 1 + 2, Tambn + Tri, Vn 1 (8), Vn 2 (8), Va (5), Vc (5), Db (4

WEIRD: Wide-orbit Exoplanet search with InfraRed Direct imaging

We report results from the Wide-orbit Exoplanet search with InfraRed Direct imaging (WEIRD), a survey designed to search for Jupiter-like companions on very wide orbits (1000 to 5000 AU) around young stars ($<$120 Myr) that are known members of moving groups in the solar neighborhood ($<$70 pc). Sharing the same age, distance, and metallicity as their host while being on large enough orbits to be studied as "isolated" objects make such companions prime targets for spectroscopic observations and valuable benchmark objects for exoplanet atmosphere models. The search strategy is based on deep imaging in multiple bands across the near-infrared domain. For all 177 objects of our sample, $z_{ab}^\prime$, $J$, [3.6] and [4.5] images were obtained with CFHT/MegaCam, GEMINI/GMOS, CFHT/WIRCam, GEMINI/Flamingos-2, and $Spitzer$/IRAC. Using this set of 4 images per target, we searched for sources with red $z_{ab}^\prime$ and $[3.6]-[4.5]$ colors, typically reaching good completeness down to 2Mjup companions, while going down to 1Mjup for some targets, at separations of $1000-5000$ AU. The search yielded 4 candidate companions with the expected colors, but they were all rejected through follow-up proper motion observations. Our results constrain the occurrence of 1-13 Mjup planetary-mass companions on orbits with a semi-major axis between 1000 and 5000 AU at less than 0.03, with a 95\% confidence level.Comment: 55 pages, 16 figures, accepted to A

Constraints on the occurrence and distribution of 1--20 \mj\ companions to stars at separations of 5--5000\,au from a compilation of direct imaging surveys

We present the first statistical analysis of exoplanet direct imaging surveys combining adaptive optics imaging at small separations with deep seeing-limited observations at large separations allowing us to study the entire orbital separation domain from 5 to 5000~au simultaneously. Our sample of 344 stars includes only confirmed members of nearby young associations and is based on all AO direct-imaging detection limits readily available online, with addition of our own previous seeing limited surveys. Assuming that the companion distribution in mass and semi-major axis follows a power law distribution and adding a dependence on the mass of the host star, such as $d^2n\propto fM^{\alpha}a^{\beta} (M_\star/M_{\odot})^{\gamma}$d$M$d$a$, we constrain the parameters to obtained $\alpha=-0.18^{+0.77}_{-0.65}$, $\beta=-1.43^{+0.23}_{-0.24}$, and $\gamma=0.62^{+0.56}_{-0.50}$,at a 68\% confidence level, and we obtain $f=0.11^{+0.11}_{-0.05}$, for the overall planet occurrence rate for companions with masses between 1 to 20~\mj\ in the range 5--5000~au. Thus, we find that occurrence of companions is negatively correlated with semi-major axis and companion mass (marginally) but is positively correlated with the stellar host mass. Our inferred mass distribution is in good agreement with other distributions found previously from direct imaging surveys for planets and brown dwarfs, but is shallower as a function of mass than the distributions inferred by radial velocity surveys of gas giants in the 1--3\,au range. This may suggest that planets at these wide and very-wide separations represent the low-mass tail of the brown dwarfs and stellar companion distribution rather than an extension of the distribution of the inner planets.Comment: 26 pages, 8 figures Accepted to Astronomical Journal Updated Table

WEIRD: Wide-orbit Exoplanet Search with InfraRed Direct Imaging

We report results from the Wide-orbit Exoplanet search with InfraRed Direct imaging, or WEIRD, a survey designed to search for Jupiter-like companions on very wide orbits (1000–5000 au) around young stars (<120 Myr) that are known members of moving groups in the solar neighborhood (<70 pc). Companions that share the same age, distance, and metallicity as their host while being on large enough orbits to be studied as "isolated" objects make prime targets for spectroscopic observations, and they are valuable benchmark objects for exoplanet atmosphere models. The search strategy is based on deep imaging in multiple bands across the near-infrared domain. For all 177 objects of our sample, z_(ab)', J, [3.6], and [4.5] images were obtained with CFHT/MegaCam, GEMINI/GMOS, CFHT/WIRCam, GEMINI/Flamingos-2, and Spitzer/IRAC. Using this set of four images per target, we searched for sources with red z_(ab)' and [3.6]–[4.5] colors, typically reaching good completeness down to 2 M_(Jup) companions, while going down to 1 M_(Jup) for some targets, at separations of 1000–5000 au. The search yielded four candidate companions with the expected colors, but they were all rejected through follow-up proper motion observations. Our results constrain the occurrence of 1–13 M_(Jup) planetary-mass companions on orbits with a semimajor axis between 1000 and 5000 au at less than 0.03, with a 95% confidence level