A geometrically nonlinear Euler–Bernoulli beam model within strain gradient elasticity with isogeometric analysis and lattice structure applications
نویسندگان
چکیده
منابع مشابه
Shape Gradient Computation in Isogeometric Analysis for Linear Elasticity
The transfer of geometrical data from CAD (Computer Aided Design) to FEA (Finite-Element Analysis) is a bottleneck of automated design optimization procedures, yielding a loss of accuracy and cumbersome software couplings. Isogeometric analysis methods propose a new paradigm that allows to overcome these difficulties by using a unique geometrical representation that yields a direct relationship...
متن کاملNonlinear Vibration Analysis of a cantilever beam with nonlinear geometry
Analyzing the nonlinear vibration of beams is one of the important issues in structural engineering. According to this, an impressive analytical method which is called Modified Iteration Perturbation Method (MIPM) is used to obtain the behavior and frequency of a cantilever beam with geometric nonlinear. This new method is combined by the Mickens and Iteration methods. Moreover, this method don...
متن کاملFree Vibration Analysis of Microtubules as Orthotropic Elastic Shells Using Stress and Strain Gradient Elasticity Theory
In this paper, vibration of the protein microtubule, one of the most important intracellular elements serving as one of the common components among nanotechnology, biotechnology and mechanics, is investigated using stress and strain gradient elasticity theory and orthotropic elastic shells model. Microtubules in the cell are influenced by internal and external stimulation and play a part in con...
متن کاملWave propagation analysis of magneto-electro-thermo-elastic nanobeams using sinusoidal shear deformation beam model and nonlocal strain gradient theory
The main goal of this research is to provide a more detailed investigation of the size-dependent response of magneto-electro-thermo-elastic (METE) nanobeams subjected to propagating wave, ...
متن کاملIsogeometric analysis with geometrically continuous functions on two-patch geometries
We study the linear space of C-smooth isogeometric functions defined on a multi-patch domain Ω ⊂ R. We show that the construction of these functions is closely related to the concept of geometric continuity of surfaces, which has originated in geometric design. More precisely, the C-smoothness of isogeometric functions is found to be equivalent to geometric smoothness of the same order (G-smoot...
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: Mathematics and Mechanics of Complex Systems
سال: 2020
ISSN: 2325-3444,2326-7186
DOI: 10.2140/memocs.2020.8.345