Bài viết phát triển phương pháp Ritz để phân tích dao động tự do của dầm composite nhiều lớp gia cường ống Nano Carbon. Dầm đặt trên nền đàn hồi với mô hình nền đàn hồi Winkler và lý thuyết tính toán dầm theo lý thuyết biến dạng cắt bậc cao. | TNU Journal of Science and Technology 228 14 82 - 89 NATURAL VIBRATIONS OF COMPOSITE BEAMS REINFORCED WITH NANO CARBON TUBES ON ELASTIC FOUNDATIONS ACCORDING TO THE THEORY OF HIGH-ORDER SHEAR STRAIN Nguyen Dang Diem Nguyen Loc Kha University of Transport and Communications ARTICLE INFO ABSTRACT Received 13 7 2023 This paper develops the Ritz method to analyze the natural vibrations of laminated composite beams reinforced with Nano Carbon tubes. Beams Revised 17 10 2023 placed on elastic foundation with Winkler elastic foundation model and Published 18 10 2023 beam calculation theory according to high-order shear strain theory. The central system of equations of the problem is established by the energy KEYWORDS method combined with the Largrang - II equation. The results calculated by the proposed method are compared with those calculated by the finite Natural vibrations element method to check suitability and accuracy. The investigation Nano Carbon tubes results show that The elastic foundation coefficient affects almost linearly to the natural vibration frequency of the beam. The beam s Ritz method natural frequency increases as the volume ratio of the Nano Carbon fiber High-order shear strain increases. At the same time in all distribution forms of Nano Carbon Composite beams fiber the X-shaped distribution or the beam with the greatest stiffness and the double-ended connection type is the mount with the highest vibration frequency in the investigated connection cases. In addition when the angle of inclination of the Nano Carbon fiber increases or the ratio of span length and section height increases the vibration frequency of the beam decreases. DAO ĐỘNG TỰ DO CỦA DẦM COMPOSITE LỚP GIA CƯỜNG ỐNG NANO CARBON TỰA TRÊN NỀN ĐÀN HỒI THEO LÝ THUYẾT BIẾN DẠNG CẮT BẬC CAO Nguyễn Đăng Điềm Nguyễn Lộc Kha Trường Đại học Giao thông vận tải THÔNG TIN BÀI BÁO TÓM TẮT Ngày nhận bài 13 7 2023 Bài báo phát triển phương pháp Ritz để phân tích dao động tự do của dầm composite .
