• Title/Summary/Keyword: Isotropic Beam

Search Result 106, Processing Time 0.024 seconds

Shape Optimal Design of Variable Sandwich Structure (가변 샌드위치 구조물의 형상최적설계)

  • 박철민;박경진;이완익
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.17 no.9
    • /
    • pp.2162-2171
    • /
    • 1993
  • Geneal Structure optimization is utilized to minimize the weight of structures while satisfying constraints imposed on stress, displacements and natural frequencies, etc. Sandwich structures consist of inside core and outside face sheets. The selected sandwich structures are isotropic sandwich beams and isotropic sandwich plate. The face sheets are treated as membrane and assumed to carry only tensions, while the core is assumed to carry only transverse shear. The characteristic of the varying area are considered by adding the projected component of the tension to the transverse shear. The bending theory and energy method are adopted for analyzing sandwich beams and plates, respectively. In the optimization process, the cost function is the weight of a structure, and a deflection and stress constraints are considered. Design variable are thickness and tapering coefficients which determine the shape of a structure. An existing optimization code is used for solving the formulated problems.

Three-dimensional reconstruction of polycrystals using a series of EBSD maps obtained from Dual-beam experiments

  • Kim, MinJi;Son, Youngkyun;Lee, Myeongjin;Jeon, Youngju;Lee, Sukbin
    • Proceedings of the Korean Vacuum Society Conference
    • /
    • 2016.02a
    • /
    • pp.172-172
    • /
    • 2016
  • Dual-beam experiments (Focused ion beam - Orientation mapping microstructure, FIB-OIM) is a widely used experimental tool because this experiments tool available alternates between automated serial sectioning and EBSD with the help of dual beams. We investigated the reconstruction procedure for analysis tool which three-dimensional internal microstructure using Ni superalloy(IN100) and ZrO2. As a results, we observed annealing twin boundary each layer in Ni superalloy(IN100) and fairly isotropic internal microstructure in ZrO2 using marching cubes algorithm. According to these results, this procedure is reconstructed well and we gained ability to arrange the EBSD map and internal microstructure.

  • PDF

Simulation of Ultrasonic Beam Focusing on a Defect in Anisotropic, Inhomogeneous Media

  • Jeong, Hyun-Jo;Cho, Sung-Jong;Erdenetuya, Sharaa;Jung, Duck-Yong
    • Journal of the Korean Society for Nondestructive Testing
    • /
    • v.31 no.6
    • /
    • pp.635-641
    • /
    • 2011
  • In ultrasonic testing of dissimilar metal welds, application of phased array technique in terms of incident beam focusing is not easy because of complicated material structures formed during the multi-pass welding process. Time reversal(TR) techniques can overcome some limitations of phased array since they are self-focusing that does not depend on the geometrical and physical properties of testing components. In this paper, we test the possibility of TR focusing on a defect within anisotropic, heterogeneous austenitic welds. A commercial simulation software is employed for TR focusing and imaging of a side-drilled hole. The performance of time reversed adaptive focal law is compared with those of calculated focal laws for both anisotropic and isotropic welds.

Free vibration analysis of edge cracked symmetric functionally graded sandwich beams

  • Cunedioglu, Yusuf
    • Structural Engineering and Mechanics
    • /
    • v.56 no.6
    • /
    • pp.1003-1020
    • /
    • 2015
  • In this study, free vibration analysis of an edge cracked multilayered symmetric sandwich beams made of functionally graded materials are investigated. Modelling of the cracked structure is based on the linear elastic fracture mechanics theory. Material properties of the functionally graded beams change in the thickness direction according to the power and exponential laws. To represent functionally graded symmetric sandwich beams more realistic, fifty layered beam is considered. Composition of each layer is different although each layer is isotropic and homogeneous. The considered problem is carried out within the Timoshenko first order shear deformation beam theory by using finite element method. A MATLAB code developed to calculate natural frequencies for clamped and simply supported conditions. The obtained results are compared with published studies and excellent agreement is observed. In the study, the effects of crack location, depth of the crack, power law index and slenderness ratio on the natural frequencies are investigated.

Mathematical solution for free vibration of sigmoid functionally graded beams with varying cross-section

  • Atmane, Hassen Ait;Tounsi, Abdelouahed;Ziane, Noureddine;Mechab, Ismail
    • Steel and Composite Structures
    • /
    • v.11 no.6
    • /
    • pp.489-504
    • /
    • 2011
  • This paper presents a theoretical investigation in free vibration of sigmoid functionally graded beams with variable cross-section by using Bernoulli-Euler beam theory. The mechanical properties are assumed to vary continuously through the thickness of the beam, and obey a two power law of the volume fraction of the constituents. Governing equation is reduced to an ordinary differential equation in spatial coordinate for a family of cross-section geometries with exponentially varying width. Analytical solutions of the vibration of the S-FGM beam are obtained for three different types of boundary conditions associated with simply supported, clamped and free ends. Results show that, all other parameters remaining the same, the natural frequencies of S-FGM beams are always proportional to those of homogeneous isotropic beams. Therefore, one can predict the behaviour of S-FGM beams knowing that of similar homogeneous beams.

Endochronic prediction for the mechanical ratchetting of a stepped beam subjected to steady tension and cyclic bending

  • Pan, W. F.;Yang, Y. S.;Lu, J. K.
    • Structural Engineering and Mechanics
    • /
    • v.6 no.3
    • /
    • pp.327-337
    • /
    • 1998
  • In this paper, the first-order ordinary differential constitutive equations of endochronic theory are incorporated into finite element formalism. A theoretical investigation is performed on the ratchetting effect of a stepped beam subjected to steady tension and cyclic bending. Experimental data of lead alloy found in literature are used for comparison. Those data reveal that the endochronic prediction yields more adequate results than those predictions using the plasticity models with isotropic hardening or kinematic hardening, as employed by Hardy, et al. (1985).

Analytical solutions to magneto-electro-elastic beams

  • Jiang, Aimin;Ding, Haojiang
    • Structural Engineering and Mechanics
    • /
    • v.18 no.2
    • /
    • pp.195-209
    • /
    • 2004
  • By means of the two-dimensional basic equations of transversely isotropic magneto-electro-elastic media and the strict differential operator theorem, the general solution in the case of distinct eigenvalues is derived, in which all mechanical, electric and magnetic quantities are expressed in four harmonic displacement functions. Based on this general solution in the case of distinct eigenvalues, a series of problems is solved by the trial-and-error method, including magneto-electro-elastic rectangular beam under uniform tension, electric displacement and magnetic induction, pure shearing and pure bending, cantilever beam with point force, point charge or point current at free end, and cantilever beam subjected to uniformly distributed loads. Analytical solutions to various problems are obtained.

Experimental Study on Dynamic Characteristics of Structurally Tailored Isotropic Box Beams (강성재단 된 등방성 박스보의 동적 특성에 관한 실험적 연구)

  • Kim, Kyoung-Duck;Kim, Jun-Sik
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.37 no.5
    • /
    • pp.641-648
    • /
    • 2013
  • A beam is a major load-carrying member in many engineering structures. Beams with properly designed cross sections and stiffeners are required to enhance the structural properties. Such a design may cause various coupling behaviors, and therefore, an accurate analysis is essential for the proper design of beams. In this research, we manufactured box-beams with stiffeners, which mimic the out-of-plane composite bending-shear coupling behavior reported in literature. A modal test is carried out to obtain the dynamic characteristics, such as natural frequencies and mode shapes, of the box-beam. The obtained results are compared with those of 3D FEM, which confirm that the out-of-plane bending-shear coupling behavior reported in literature is possible. The coupling behavior can be controlled by the proper design of the stiffeners.

Vibration and damping behaviors of symmetric layered functional graded sandwich beams

  • Demir, Ersin
    • Structural Engineering and Mechanics
    • /
    • v.62 no.6
    • /
    • pp.771-780
    • /
    • 2017
  • In this study, free vibration and damping behaviors of multilayered symmetric sandwich beams and single layered beams made of Functionally Graded Materials were investigated, experimentally and numerically. The beams were composed of Aluminum and Silicon Carbide powders and they were produced by powder metallurgy. Three beam models were used in the experiments. The first model was isotropic, homogeneous beams produced by using different mixing ratios. In the second model, the pure metal layers were taken in the middle of the beam and the weight fraction of the ceramic powder of each layer was increased towards to the surfaces of the beam in the thickness direction. In the third model, the pure metal layers were taken in the surfaces of the beam and the weight fraction of the ceramic powder of each layer was increased towards to middle of the beam. Then the vibration tests were performed. Consequently, the effects of stacking sequence and mixing ratio on the natural frequencies and damping responses of functionally graded beams were discussed from the results obtained. Furthermore, the results obtained from the tests were supported with a finite-element-based commercial program, and it was found to be in harmony.

Simplified beam model of high burnup spent fuel rod under lateral load considering pellet-clad interfacial bonding influence

  • Lee, Sanghoon;Kim, Seyeon
    • Nuclear Engineering and Technology
    • /
    • v.51 no.5
    • /
    • pp.1333-1344
    • /
    • 2019
  • An integrated approach of model simplification for high burnup spent nuclear fuel is proposed based on material calibration using optimization. The spent fuel rods are simplified into a beam with a homogenous isotropic material. The proposed approach of model simplification is applied to fuel rods with two kinds of interfacial configurations between the fuel pellets and cladding. The differences among the generated models and the effects of interfacial bonding efficiency are discussed. The strategy of model simplification adopted in this work is to force the simplified beam model of spent fuel rods to possess the same compliance and failure characteristics under critical loads as those that result in the failure of detailed fuel rod models. It is envisioned that the simplified model would enable the assessment of fuel rod failure through an assembly-level analysis, without resorting to a refined model for an individual fuel rod. The effective material properties of the simplified beam model were successfully identified using the integrated optimization process. The feasibility of using the developed simplified beam models in dynamic impact simulations for a horizontal drop condition is examined, and discussions are provided.