检索结果-南通市图书馆

Motion of.Nonholonomous Rheonomous Systems in the Lagrangian f.rmalism

Journal of.Applied Mathematics and Physics 2015年第3期3卷 295-309页

作者： f. talamucci DIMAI Dipartimento di Matematica e Informatica “Ulisse Dini” Università Degli Studi di Firenze Florence Italy

The main purpose of.the paper consists in illustrating a procedure f.r expressing the equations of.motion f.r a general time-dependent constrained system. Constraints are both of.geometrical and dif.erential type. The use of.quasi-velocities as variables of.the mathematical problem opens the possibility of.incorporating some remarkable and classic cases of.equations of.motion. Af.erwards, the scheme of.equations is implemented f.r a pair of.substantial examples, which are presented in a double version, acting either as a scleronomic system and as a rheonomic system.

关键词： Nonholonomous Systems Rheonomic Constraints Quasi-Velocites Appell and Boltzmann-Hamel Equations

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

The Lagrangian Method f.r a Basic Bicycle

引用

Journal of.Applied Mathematics and Physics 2014年第4期2卷 46-60页

作者： f. talamucci DIMAI Dipartimento di Matematica e Informatica “Ulisse Dini” Università degli Studi di Firenze Firenze Italy

The ground plan in order to disentangle the hard problem of.modelling the motion of.a bicycle is to start f.om a very simple model and to outline the proper mathematical scheme: f.r this reason the f.rst step we perf.rm lies in a planar rigid body (simulating the bicylcle f.ame) pivoting on a horizontal segment whose extremities, subjected to nonslip conditions, oversimplif. the wheels. Even in this f.rmer case, which is the topic of.lots of.papers in literature, we f.nd it worthwhile to pay close attention to the f.rmulation of.the mathematical model and to f.cus on writing the proper equations of.motion and on the possible existence of.conserved quantities. In addition to the f.rst case, being essentially an inverted pendulum on a skate, we discuss a second model, where rude handlebars are added and two rigid bodies are joined. The geometrical method of.Appell is used to f.rmulate the dynamics and to deal with the nonholonomic constraints in a correct way. At the same time the equations are explained in the context of.the cardinal equations, whose use is habitual f.r this kind of.problems. The paper aims to a threef.ld purpose: to f.rmulate the mathematical scheme in the most suitable way (by means of.the pseudovelocities), to achieve results about stability, to examine the legitimacy of.certain assumptions and the compatibility of.some conserved quantities claimed in part of.the literature.

关键词： Nonholomic Constraints Lagrangian Equations Pseudovelocities Nonlinear Order Dif.erential Equations Stability

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Synchronization of.two coupled pendula in absence of.escapement

引用

Applied Mathematics and Mechanics(English Edition) 2016年第12期37卷 1721-1738页

作者： f.talamucci DIMAI Dipartimento di Matematica e Informatica "Ulisse Dini"Università degli Studi di Firenze

A model of.two oscillating pendula placed on a mobile support is studied. Once an overall scheme of.equations, under general assumptions, is f.rmulated via the Lagrangian equations of.motion, the specif.c case of.absence of.escapement is examined. The mechanical model consists of.two coupled pendula both oscillating on a moving board attached to a spring. The f.nal result perf.rms selection among the peculiar parameters of.the physical process （the length, the ratio of.masses, the f.iction and damping coef.icients, and the stif.ness of.the spring）, providing a tendency to synchronization.

关键词： synchronization coupled pendula characteristic equation eigenvalue lo-calization

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Consonance of.Complex Tones with Harmonics of.Dif.erent Intensity

引用

Open Journal of.Acoustics 2014年第2期4卷 78-89页

作者： Antonio Bernini f.derico talamucci Dipartimento di Matematica e Inf.rmatica “U. Dini” (DIMAI) Universita di Firezne Firenze Italy

The starting point of.this study is the theory of.tonal consonance by Plomp and Levelt. The major ref.rence point is the theory of.Critical Band and its use f.r evaluating consonance of.simple tones. On the basis of.such empirical criterion, our aim consists in providing a method of.estimating the value of.consonance of.complex tones, by taking account not only of.the number of.harmonics, but also of.the intensity of.the partials which contribute to f.rming the tone. By introducing a specif.c algorithm, the level of.consonance of.a chord of.complex tones is expressed in terms both of.f.equency dif.erences and sound intensity of.the partials. The results give rise to a series of.considerations and applications, ranging f.om displaying the order of.consonance of.all intervals within the octave up to evaluating the hierarchy of.chords in the f.ame of.a musical scale.

关键词： Consonance Complex Tones Scale Critical Bandwidth Intensity of Harmonics Loudness

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：