Bending analysis of composite sandwich plates using generalized differential quadrature method based on FSDT
محورهای موضوعی : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیک
مصطفی یزدانی
1
(دانشجوی کارشناسی ارشد ، دانشکده مکانیک، دانشگاه آزاد اسلامی واحد همدان، پردیس تحصیلات تکمیلی علوم و تحقیقات)
اعظم قاسمی
2
(استادیار، دانشکده مکانیک، دانشگاه آزاد اسلامی واحد نجف آباد)
محمد هدایتی
3
(کارشناس ارشد ، دانشکده مکانیک، دانشگاه صنعتی اصفهان)
کلید واژه: Bending, Generalized differentialmethod, Composite sandwich plates, First Order Shear Deformation Theory,
چکیده مقاله :
Nowadays, the technology intends to use materials such as magnesium alloys due to their high strength to weight ratio in engine components. As usual, engine cylinder heads and blocks has made of various types of cast irons and aluminum alloys. However, magnesium alloys has physical and mechanical properties near to aluminum alloys and reduce the weight up to 40 percents. In this article, a new low cycle fatigue lifetime prediction model is presented for a magnesium alloy based on energy approach and to obtain this objective, the results of low cycle fatigue tests on magnesium specimens are used. The presented model has lower material constants in comparison to other criteria and also has proper accuracy; because in energy approaches, a plastic work-lifetime relation is used where the plastic work is the multiple of stress and plastic strain. According to cyclic softening behaviors of magnesium and aluminum alloys, plastic strain energy can be proper selection, because of being constant the product value of stress and plastic strain during fatigue loadings. In addition, the effect of mean stress is applied to the low cycle fatigue lifetime prediction model by using a correction factor. The results of presented models show proper conformation to experimental results
هدف از این تحقیق، بکارگیری روش­های مربعات دیفرانسیلی تعمیم­یافته و هارمونیک به­عنوان روش­های دقیق و سریع در تحلیل خمش صفحات ساندویچی می­باشد. تحلیل خمش صفحات ساندویچی تحت شرایط مرزی و بارگذاری­های جانبی مختلف و با استفاده از دو روش مربعات دیفرانسیلی تعمیم یافته و مربعات دیفرانسیلی هارمونیک بر اساس دو تئوری کلاسیک و مرتبه اول برشی، انجام شده است. تأثیر ناهمسانگردی لایه­ها، زاویه­ی قرارگیری الیاف، نسبت ضخامت به طول صفحه، نسبت ضخامت هسته به پوسته بر مسئله خمش مورد مطالعه قرار گرفت. برای حل عددی از نرم­افزار متلب استفاده شده است. مقایسه­ نتایج عددی بدست آمده ازدو روش مربعات دیفرانسیلی تعمیم­یافته و هارمونیک با نتایج موجود در تحقیقات گذشته نشان از دقت، توانایی و نرخ همگرایی خوب این دو روش دارد. سرعت بالا و دقت بسیارخوب این روش­ها، اهمیت استفاده از آن­ها را به ویژه در حل مسائل پیچیده نشان می­دهد. با استفاده از روش مربعات دیفرانسیلی تعمیم یافته نشان داده شد که با افزایش نسبت ناهمسانگردی پوسته­ها مقدار تغییر مکان ماکزیمم جانبی صفحه کاهش می­یابد. در بررسی زاویه قرارگیری الیاف مشخص شد که مقدار تغییر مکان بدست آمده، به زاویه­ی قرارگیری الیاف بستگی دارد. نسبت ضخامت هسته به پوسته مورد یررسی قرار گرفت و نشان داده شد که با افزایش نسبت ضخامت هسته به پوسته، تغییر مکان ماکزیمم صفحه کاهش می­یابد. همچنین بارگذاری­های مختلفی استفاده شده است که نشان می­د­هد استفاده از این روش محدود به نوع بارگذاری خاصی نیست.
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