Phân bố ứng suất và tuổi thọ mỏi của sự rung động phi tuyến của một dầm chuyển động trục

Science China Technological Sciences - Tập 62 Số 7 - Trang 1123-1133 - 2019
Ding, Hu1,2, Huang, Ling-Lu1, Dowell, Earl3, Chen, Li-Qun1,2,4
1Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai, China
2Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai, China
3Department of Mechanical Engineering and Materials Science, Duke University, Durham, USA
4Department of Mechanics, Shanghai University, Shanghai, China

Tóm tắt

Trong bài báo này, tác động của rung động phi tuyến đến sự phân bố ứng suất và tuổi thọ mỏi của dầm chuyển động trục được nghiên cứu. Sự kích thích tham số của vật liệu dẻo được tạo ra bởi tốc độ di chuyển dao động. Điều kiện cộng hưởng nội ba ăn khớp được thỏa mãn. Mô hình ba tham số được áp dụng trong mối quan hệ cấu tạo nhớt đàn hồi. Rung động phi tuyến của dầm chuyển động trục với cộng hưởng tham số và nội tại được nghiên cứu bằng phương pháp thang số trực tiếp (MSM) với sự xác nhận bằng mô phỏng số. Dựa trên giải pháp phân tích gần đúng, sự phân bố ứng suất kéo và ứng suất uốn trên dầm chuyển động trục được trình bày bằng cách áp dụng một dây đai V làm nguyên mẫu. Dựa trên ứng suất chu kỳ ổn định tối đa, phản ứng chu kỳ giới hạn của dây đai V được sử dụng để đánh giá tác động của cộng hưởng lên tuổi thọ mỏi. Ngoài ra, ảnh hưởng của cộng hưởng nội tại lên các phản ứng trạng thái ổn định và tuổi thọ mỏi của dây đai V cũng được làm sáng tỏ. Các ví dụ số minh họa rằng các cộng hưởng không mong muốn lớn xảy ra và chế độ bậc hai nhận năng lượng rung động từ chế độ bậc nhất. Các kết quả số chứng minh rằng rung động phi tuyến làm giảm đáng kể tuổi thọ mỏi của dây đai V. Phương pháp phân tích tuổi thọ mỏi trong bài viết này có thể áp dụng cho rung động kích thích của các hệ thống chuyển động trục khác và thậm chí là các dạng liên tục tĩnh.

Từ khóa

#rung động phi tuyến #dầm chuyển động trục #phân bố ứng suất #tuổi thọ mỏi #cộng hưởng nội tại #mô hình ba tham số

Tài liệu tham khảo

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