Generalized Hamiltonian forms of dissipative mechanical systems via a unified approach

2021 ◽  
Vol 160 ◽  
pp. 103976
Author(s):  
Yufei Chen ◽  
Qihuai Liu ◽  
Heng Su
Keyword(s):  
Mechanical Systems ◽  
Unified Approach ◽  
Hamiltonian Forms

Failure rate — a unified approach

1976 ◽  
Vol 13 (01) ◽  
pp. 176-182
Author(s):  
Larry Lee ◽  
W. A. Thompson
Keyword(s):  
Failure Rate ◽  
Continuous Time ◽  
Mechanical Systems ◽  
Failure Rates ◽  
Actuarial Science ◽  
Unified Approach

Aging, of biological and mechanical systems, is well described as ‘deterioration of the power to withstand destruction.’ The failure-rate concept is the mathematical way of describing aging. Failure rates have been defined for discrete and continuous time and used extensively, particularly in actuarial science and reliability. This paper assumes an arbitrary scale on which an object encounters stress, and develops a theory of failure rate with respect to ‘stress-time’ in analogy with the discrete- and continuous-time cases.

Failure rate — a unified approach

1976 ◽  
Vol 13 (1) ◽  
pp. 176-182 ◽  
Author(s):  
Larry Lee ◽  
W. A. Thompson
Keyword(s):  
Failure Rate ◽  
Continuous Time ◽  
Mechanical Systems ◽  
Failure Rates ◽  
Actuarial Science ◽  
Unified Approach

Aging, of biological and mechanical systems, is well described as ‘deterioration of the power to withstand destruction.’ The failure-rate concept is the mathematical way of describing aging. Failure rates have been defined for discrete and continuous time and used extensively, particularly in actuarial science and reliability. This paper assumes an arbitrary scale on which an object encounters stress, and develops a theory of failure rate with respect to ‘stress-time’ in analogy with the discrete- and continuous-time cases.

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