Analytical process damping stability prediction

2013 ◽  
Vol 15 (1) ◽  
pp. 69-76 ◽  
Author(s):  
Christopher T. Tyler ◽  
Tony L. Schmitz
Author(s):  
Yiqing Yang ◽  
Donghui Wu ◽  
Qiang Liu

Nonlinearities have been evidenced during the chatter vibration of milling. Machinability of the thin-walled part is feed rate and position-dependent, and is subject to process damping at low cutting speed. Therefore, chatter stability prediction of milling considering nonlinear cutting force, nonlinear structural stiffness and process damping is investigated. The cutting force and stiffness are established based on the polynomial model and the process damping is investigated based on the dissipated energy. The dynamic cutting force and stability lobes are solved in the time domain with coefficients updated at each iteration. By formulating the displacement as an expanded form via the perturbation method, the time-consuming solution of delay differential equations is avoided. After formulating the identification of the nonlinear model via cutting tests and modal tests, numerical simulations considering nonlinearities are carried out and compared with the analytical method. The proposed method attains high accuracy of classic time-domain solution, but with an improved computational efficiency. Finally, cutting tests are conducted to verify the prediction of cutting force and stability lobes.


1996 ◽  
Author(s):  
Kuang-Hua Chang ◽  
Xiaoming Yu ◽  
Kyung Choi

Author(s):  
J. C. C. Mays

Chapter 1 follows the ascent from the technical understanding of a poem and its processes toward a sense of ‘spiritual contemplation’. Slow-reading a short Coleridge poem, ‘First Advent of Love’, representing lifelong concerns, Mays describes the meditation involved in both reading and writing the poem. He contrasts such meditation with the different, analytical process involved in Coleridge’s prose writing. He reveals how in ‘First Advent’ feelings adjust through a web of sounds, images, and allusions (to neo-Platonic ideas about love mediated through Renaissance and contemporary German authors). Inquiry into what is most important in the poem involves the matter of how the poem works: a matter of ‘Understanding’. Mays then looks to higher, numinous qualities in the poem that go beyond the understanding, and are properly imaginative in terms of Coleridge’s diagram of the ‘Order of the Mental Powers’, mediating between ‘Understanding’ and ‘Reason’ in terms of enérgeia.


2021 ◽  
Vol 209 ◽  
pp. 1-13
Author(s):  
Muhammad Mudassir Arif Chaudhry ◽  
Md Mahmudul Hasan ◽  
Chyngyz Erkinbaev ◽  
Jitendra Paliwal ◽  
Surendranath Suman ◽  
...  

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