Series solution of beams with variable cross-section
نویسندگان
چکیده
منابع مشابه
Analytical Solution for Free Vibration of a Variable Cross-Section Nonlocal Nanobeam
In this article, small scale effects on free vibration analysis of non-uniform nanobeams is discussed. Small scale effects are modelled after Eringen’s nonlocal elasticity theory while the non-uniformity is presented by exponentially varying width among the beams length with constant thickness. Analytical solution is achieved for free vibration with different boundary conditions. It is shown th...
متن کاملSemi-analytical Approach for Free Vibration Analysis of Variable Cross-Section Beams Resting on Elastic Foundation and under Axial Force
in this paper, free vibration of an Euler-Bernoulli beam with variable cross-section resting on elastic foundation and under axial tensile force is considered. Beam’s constant height and exponentially varying width yields variable cross-section. The problem is handled for three different boundary conditions: clamped-clamped, simply supported-simply supported and clamp-free beams. First, the equ...
متن کاملOn the Exact Solution of Non-Uniform Torsion for Beams with Asymmetric Cross-Section
This paper deals with the problem of non-uniform torsion in thin-walled elastic beams with asymmetric cross-section, removing the basic concept of a fixed center of twist, necessary in the Vlasov’s and Benscoter’s theories to obtain a warping stress field equivalent to zero. In this new torsion/flexure theory, despite of the classical ones, the warping function will punctually satisfy the first...
متن کاملDetermining the optimal cross-section of beams
Constrained shape discovery and optimisation are difficult engineering problems. Shape discovery deals with evolving randomly generated solutions into useful intermediate solutions. These intermediate solutions are then optimised to suite their environment. In this paper a Genetic Algorithm (GA) is applied to the problem of finding the optimum cross section of a beam, subject to various loading...
متن کاملTime-Series–Cross-Section Methods
Time-series–cross-section (TSCS) data consist of comparable time series data observed on a variety of units. The paradigmatic applications are to the study of comparative political economy, where the units are countries (often the advanced industrial democracies) and where for each country we observe annual data on a variety of political and economic variables. A standard question for such stud...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Procedia Manufacturing
سال: 2020
ISSN: 2351-9789
DOI: 10.1016/j.promfg.2020.02.265