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Article
The Axisymmetric Dynamics of Isotropic Circular Plates with Variable Thickness Under The Effect of Large Amplitudes

Author: Ahmed A. Al-Rajihy
Journal: Journal of Engineering مجلة الهندسة ISSN: 17264073 25203339 Year: 2008 Volume: 14 Issue: 1 Pages: 2302-2313
Publisher: Baghdad University جامعة بغداد

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Abstract

This paper presents a study of the geometrically non-linear vibrations of clamped circular plates with variable thickness by taking the effect of large amplitude motion. The maximum thickness is considered to be at the plate center and it is taken to be twice the value of thickness at the edge. The problem is solved by the numerical iteration procedure to obtain the results of vibration amplitudes up to twice the maximum plate thickness. The results are presented for the first two modes of vibration. The obtained results indicate that increasing the ratio of thickness has the effect of increasing the nonlinear frequency and modify the corresponding mode shape.

في هذ البحث تمت دراسة الإ هتزازات اللا خطية لصفيحة دائرية محكمة الإسناد على المحيط ، ذات سمك متغير وذلك بأخذ تأثير السعة العالية على الأهتزاز . لقد تم إعتبار أقصى سمك عند مركز الصفيحة ومساويا لضعف السمك عند الحافة . لقد تم إستخدام طريقة التكرار العددي للحصول على النتائج وذلك بأعتبار أن الأزاحة مسوية لضعف السمك الأقصى ، وأخذت النتائج للنسقين الأوليين فقط .لقد بينت النتائج أن زيادة نسبة السمك ( أقصى سمك الى السمك عند الحافة ) يزيد من قيمة الذبذبة اللاخطية ويؤثر على شكل الموجة التابعة للنسق .


Article
Deflection Estimation of Un-Symmetric Isotropic Cam with Three Circular-Arc Contact Profiles
تخمين التشوه للحدبة الايزوتروبيكية غير المتناظرة بوجود ثلاث اقواس تماس – دائرية لهيئته

Author: Louay Sabah Yousuf
Journal: Engineering and Technology Journal مجلة الهندسة والتكنولوجيا ISSN: 16816900 24120758 Year: 2012 Volume: 30 Issue: 6 Pages: 1001-1016
Publisher: University of Technology الجامعة التكنولوجية

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Abstract

In this paper the principal objectives is to design a suitable profile that produces minimum value of jerk and contact stress keeping the acceleration within a limit especially in high-speed machine. Many works in the experimental part are done on the synthesis of cam profile in accuracy and system flexibility on the output follower motion; but there is a lack in the analytical part. The analyticalformulation has been done with classical plate theory of un-symmetric cam with three circular-arc contact profiles using the equation of circular plate solution due to the distributed load comes from the perpendicular contact harmonic motion of the follower. The cam used in the paper can be found in cutting and metal forming tools, heavy duty of marine engine, and fast manufacturing equipment. The aim ofthe present paper is to calculate the maximum deflection on cam boundaries varying with (r and θ) coordinates between beginning and ending of contact follower loadings. The results were classified into mathematical model and finite element using software ANSYS.

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