FREE VIBRATION ANALYSIS OF CRACKED POST-BUCKLED BEAM BY DIFFERENTIAL QUADRATURE METHOD
Author(s):
Abstract:
The vibration analysis of cracked post-buckled beam is investigated using the differential quadrature method. Crack، assumed to be open، is modeled by a massless rotational spring. The beam is divided into two segments and the governing nonlinear equations of motion for the post-buckled state are derived. The solution consists of static and dynamic parts، which both result in nonlinear differential equations. Application of differential quadrature to the static differential equations results in a nonlinear algebraic system of equations، which will be solved utilizing an arc length strategy. Next، the differential quadrature is applied to the linearized dynamic differential equations of motion and their corresponding boundary and continuity conditions. Upon solution of the resulting eigenvalue problem، the natural frequencies and mode shapes of the beam are extracted. Several numerical case studies on cracked beams are conducted to ensure the integrity and accuracy of the proposed method. The results confirm the efficiency and accuracy of the differential quadrature method in dealing with this class of engineering problems.
Keywords:
Language:
Persian
Published:
Journal of Modeling in Engineering, Volume:11 Issue: 34, 2013
Pages:
1 to 14
magiran.com/p1168053
دانلود و مطالعه متن این مقاله با یکی از روشهای زیر امکان پذیر است:
اشتراک شخصی
با عضویت و پرداخت آنلاین حق اشتراک یکساله به مبلغ 1,390,000ريال میتوانید 70 عنوان مطلب دانلود کنید!
اشتراک سازمانی
به کتابخانه دانشگاه یا محل کار خود پیشنهاد کنید تا اشتراک سازمانی این پایگاه را برای دسترسی نامحدود همه کاربران به متن مطالب تهیه نمایند!
توجه!
- حق عضویت دریافتی صرف حمایت از نشریات عضو و نگهداری، تکمیل و توسعه مگیران میشود.
- پرداخت حق اشتراک و دانلود مقالات اجازه بازنشر آن در سایر رسانههای چاپی و دیجیتال را به کاربر نمیدهد.
In order to view content subscription is required
Personal subscription
Subscribe magiran.com for 70 € euros via PayPal and download 70 articles during a year.
Organization subscription
Please contact us to subscribe your university or library for unlimited access!