In this research the natural frequency of a cracked simple supported beam (the crack is in many places and in different depths) is investigated analytically, experimentally and numerically by ANSYS program, and the results are compared. The beam is made of iron with dimensions of L*W*H= (0.84*0.02* 0.02m), and density = 7680kg/m3, E=200Gpa. A comparison made between analytical results from ANSYS with experimental results, where the biggest error percentage is about (7.2 %) in crack position (42 cm) and (6 mm) depth. Between Rayleigh method with experimental results the biggest error percentage is about (6.4 %) for the same crack position and depth. From the error percentages it could be concluded that the Rayleigh method gives close results to experimental than ANSYS. Also it is found that the frequency of beam when the crack is in the middle position is less than the frequency with crack near the end position.
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Some Results on Fuzzy Zariski
Topology on Spec(J.L)
When talking about Andalusia in the period of time after the handover of the city of Granada
When talking about Andalusia in the period of time after the handover of the city of Granada, we find many historical issues thatIt deserves to be studied, including the lead plates, those plates about which opinions differed, and they formed a puzzleIt still needs to be explained in many respects.
تقوم الدراسات التاريخية في مصدر تاريخي
Cognitive mapping in humans is the process of coding, storing, and processing information that. Can be used in special behavior . Several scientific Domains interfere in the concept of cognitive maps including cognitive Psychology and environmental Psychology. Three papers at the start of the last century introduced the concept of cognitive maps , ( Gulliverʼs ,1908 ) brief note mentioned such maps in the context of teaching children orientation and there was a paper published by ( Hutorowicz , 1911 ) comprising an abridged translation of a monograph written by ( B .F .Adler ) o
... Show MoreIn this research, the effect of adding two different types of reinforcing particles was investigated, which included: nano-zirconia (nano-ZrO2) particles and micro-lignin particles that were added with different volume fractions of 0.5%, 1%, 1.5% and 2% on the mechanical properties of polymer composite materials. They were prepared in this research, as a complete prosthesis and partial denture base materials was prepared, by using cold cure poly methyl methacrylate (PMMA) resin matrix. The composite specimens in this research consist of two groups according to the types of reinforced particles, were prepared by using casting methods, type (Hand Lay-Up) method. The first group consists of PMMA resin reinforced by (nano-ZrO
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