Rainflow-counting Algorithm
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Rainflow-counting Algorithm
The rainflow-counting algorithm is used in calculating the fatigue life of a component in order to convert a uniaxial loading sequence of varying stress into an equivalent set of constant amplitude stress reversals. The method successively extracts the smaller interruption cycles from a sequence, which models the material memory effect seen with stress-strain hysteresis cycles. This simplification allows the number of cycles until failure of a component to be determined for each rainflow cycle using either Miner's rule to calculate the ''fatigue damage'', or in a crack growth equation to calculate the crack increments. Both methods give an estimate of the ''fatigue life'' of a component. In cases of multiaxial loading, critical plane analysis can be used together with rainflow counting to identify the uniaxial history associated with the plane that maximizes damage. The algorithm was developed by Tatsuo Endo and M. Matsuishi in 1968. The rainflow method is compatible with the cy ...
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Pagoda
A pagoda is an Asian tiered tower with multiple eaves common to Nepal, India, China, Japan, Korea, Myanmar, Vietnam, and other parts of Asia. Most pagodas were built to have a religious function, most often Buddhist but sometimes Taoist, and were often located in or near viharas. The pagoda traces its origins to the stupa of ancient India. Chinese pagodas () are a traditional part of Chinese architecture. In addition to religious use, since ancient times Chinese pagodas have been praised for the spectacular views they offer, and many classical poems attest to the joy of scaling pagodas. Chinese sources credit the Nepalese architect Araniko with introducing the pagoda to China. The oldest and tallest pagodas were built of wood, but most that survived were built of brick or stone. Some pagodas are solid with no interior. Hollow pagodas have no higher floors or rooms, but the interior often contains an altar or a smaller pagoda, as well as a series of staircases for the vis ...
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Fatigue Testing
Fatigue testing is a specialised form of mechanical testing that is performed by applying cyclic loading to a ''coupon'' or structure. These tests are used either to generate fatigue life and crack growth data, identify critical locations or demonstrate the safety of a structure that may be susceptible to fatigue. Fatigue tests are used on a range of components from coupons through to full size test articles such as automobiles and aircraft. Fatigue tests on coupons are typically conducted using servo hydraulic test machines which are capable of applying large ''variable amplitude'' cyclic loads. ''Constant amplitude'' testing can also be applied by simpler oscillating machines. The ''fatigue life'' of a coupon is the number of cycles it takes to break the coupon. This data can be used for creating stress-life or strain-life curves. The rate of crack growth in a coupon can also be measured, either during the test or afterward using fractography. Testing of coupons can also b ...
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Fatigue (material)
In materials science, fatigue is the initiation and propagation of cracks in a material due to cyclic loading. Once a fatigue crack has initiated, it grows a small amount with each loading cycle, typically producing striations on some parts of the fracture surface. The crack will continue to grow until it reaches a critical size, which occurs when the stress intensity factor of the crack exceeds the fracture toughness of the material, producing rapid propagation and typically complete fracture of the structure. Fatigue has traditionally been associated with the failure of metal components which led to the term metal fatigue. In the nineteenth century, the sudden failing of metal railway axles was thought to be caused by the metal ''crystallising'' because of the brittle appearance of the fracture surface, but this has since been disproved. Most materials, such as composites, plastics and ceramics, seem to experience some sort of fatigue-related failure. To aid in predicting t ...
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Tatsuo Endo (engineer)
was a Japanese engineer who, in 1968 along with M. Matsuishi, developed the rainflow-counting algorithm for fatigue analysis of structures while a visiting professor at the University of Illinois The University of Illinois Urbana-Champaign (U of I, Illinois, University of Illinois, or UIUC) is a public land-grant research university in Illinois in the twin cities of Champaign and Urbana. It is the flagship institution of the University .... Bibliography *Murakami, Y. (1992) ''The Rainflow Method in Fatigue: The Tatsuo Endo Memorial Volume'' 1925 births 1989 deaths Japanese civil engineers Japanese metallurgists University of Illinois Urbana-Champaign faculty Japanese expatriates in the United States {{Japan-engineer-stub ...
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Algorithm
In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can perform automated deductions (referred to as automated reasoning) and use mathematical and logical tests to divert the code execution through various routes (referred to as automated decision-making). Using human characteristics as descriptors of machines in metaphorical ways was already practiced by Alan Turing with terms such as "memory", "search" and "stimulus". In contrast, a Heuristic (computer science), heuristic is an approach to problem solving that may not be fully specified or may not guarantee correct or optimal results, especially in problem domains where there is no well-defined correct or optimal result. As an effective method, an algorithm ca ...
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