| Autor: |
Nguyen Thai Minh Tuan, Chung Thanh Pham, Do Dang Khoa, Phan Dang Phong |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
Vietnam Journal of Science and Technology. 57:112 |
| ISSN: |
2525-2518 |
| DOI: |
10.15625/2525-2518/57/1/12285 |
| Popis: |
This paper employ Khang’s definition of the partial derivative of a matrix with respect to a vector and the Kronecker product to define translational and rotational Hessian matrices. With these definitions, the generalized velocities in the expression of a linear acceleration or an angular acceleration are collected into a quadratic term. The relations of Jacobian and Hessian matrices in relative motion are then established. A new matrix form of Lagrange’s equations showing clearly the quadratic term of generalized velocities is also introduced. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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