Inflectional Heavy Elastica with Unilateral Contact constraint: Analytical Solution through the Curvilinear Abscissa Mapping approximation
نویسندگان
چکیده
This paper provides an original approximate analytical solution of the Inflectional Heavy Elastica problem using Curvilinear Abscissa Mapping Method (C.A.M.M.). The solution, unlike classic methods, is valid for a wide range rotations (up to 90°). As well known, (inflectional or not) does not have exact even in simplest load cases. CAMM approach allows obtain that sounds very large displacements and rotations. In present contribute we refer inflectional case, which subsists when orientation end-moment acts against bending due lifting load. proposed has similar mathematical form computational effort required classical non-inflectional (non-distributed loads). results are validated by some numerical experimental comparisons, highlighting strong matching. Design-Charts also provided, variables interest deducible upon trend dimensionless parameters, as function end rotation end-applied moment.
منابع مشابه
Input impedance computation for wind instruments based upon the Webster-Lokshin model with curvilinear abscissa
متن کامل
Analytical aspects of the interval unilateral quadratic matrix equations and their united solution sets
This paper introduces the emph{interval unilateral quadratic matrix equation}, $IUQe$ and attempts to find various analytical results on its AE-solution sets in which $A,B$ and $CCC$ are known real interval matrices, while $X$ is an unknown matrix. These results are derived from a generalization of some results of Shary. We also give sufficient conditions for non-emptiness of some quasi-solutio...
متن کاملsemi-analytical solution for static and forced vibration problems of laminated beams through smooth fundamental functions method
در این پایان نامه روش جدیدی مبتنی بر روش حل معادلات دیفرانسیل پارهای بر اساس روش توابع پایه برای حل مسایل ارتعاش اجباری واستاتیک تیرها و صفحات لایه ای ارایه شده است که می توان تفاوت این روش با روش های متداول توابع پایه را در استفاده از توابع هموار در ارضاء معادلات حاکم و شرایط مرزی دانست. در روش ارایه شده در این پایاننامه از معادله تعادل به عنوان معادله حاکم بر رفتار سیستم استفاده شده است که مو...
15 صفحه اولthe effect of vocabulary instruction through semantic mapping on learning and recall of efl learners
چکیده ندارد.
15 صفحه اولValidating an Analytical Approximation through Discrete Simulation
While Markov models have been extensively used to study the availability of replicated data, they cannot handle effectively network configurations where sites failures and network partitions have to be simultaneously considered. We had proposed in a previous paper a hierarchical decomposition method aimed at overcoming this limitation. While our method could provide closed form estimates of the...
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: International Journal of Solids and Structures
سال: 2022
ISSN: ['1879-2146', '0020-7683']
DOI: https://doi.org/10.1016/j.ijsolstr.2021.111258