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Mechanism and Machines
A system that transmits forces in a predetermined manner to accomplish specific objectives may be considered a machine. A mechanism may be defined in a similar manner, but the term mechanism is usually applied to a system where the principal function is to transmit motion. Kinematics is the study of motion in mechanism, while the analysis of force and torques in machined is called dynamics.
Once the need for a machine or mechanism with given characteristics is identified, the design process begins. Detailed analysis of displacements, velocities, and accelerations is usually required. This part of the design process is then followed by analysis of force and torques. The design process may continue long after first model have been produce and include redesigns of component that affect velocities, accelerations, force, and torques. In order to successfully compete form year to year, most manufacturers must continuously modify their product and their methods of production. Increases in production rate, upgrading of product performance, redesign for cost and weight reduction, and motion analysis of new product lines are frequently required. Success may hinge on the correct kinematic and dynamic analysis of the problem.
Many of the basic linkage configurations have been incorporate into machines designed centuries ago, and the term we use to describe then have change over the year. Thus, definitions and terminology will not be consistent throughout the technical literature. In most cases, however, meanings will be clear form the context of the descriptive matter. A few terms of particular interest to the study of kinematic and dynamics of machines are define below.
Link A link is one of the rigid bodies or members joined together to form a kinematic chain. The term rigid link or sometimes simply link is an idealization used in the study of that does not consider small deflections due to strains in machine members. A perfectly rigid or inextensible link can exist only as a textbook type of model of a real machine member. For typical machine part, maximum dimension changes are of only a one-thousandth of the part length. We are justified in neglecting this small motion when considering the much greater motion characteristic of most mechanisms. The word link is used in a general sense to include cams, gears, and other machine members in addition to cranks, connecting rods and other pin-connected components.
Degrees-of-freedom The number of degrees-of-freedom of a linkage is the number of independent parameters required to position of every link relative to the frame or fixed link. If the instantaneous configuration of a system may be completely defined by specifying one independent variable, that system has one degree-of-freedom. Most practical mechanisms have one degree-of-freedom.
An unconstrained rigid body has six degrees-of-freedom: translation in three coordinates and rotation about three coordinate axes. If the body is restricted to motion in a plane, there are three degrees-of-freedom: translation in two coordinate directions and rotation within the plane.
Lower and Higher Pairs Connections between rigid bodies consist of lower and higher pairs of elements. The two elements of a lower pair have theoretical surface contact with one another, while the two elements of a higher pair have theoretical point or line contact (if we disregard deflections).
Lower pairs are desirable from a design standpoint since the load at the joint and the resultant wear is spread over the contact surface. Thus, geometric changes or failure due to high contact stresses and excessive wear may be prevented.
Mechanism A mechanism is a kinematic chain in which one link is considered fixed for the purpose of analysis, but motion is possible in other links. As noted above, the link designated as the fixed link need not actually be stationary relative to the surface of the earth. A kinematic chain is usually identified as a mechanism if its primary purpose is the modification or transmission of motion.
Machine A mechanism designed for the purpose of transmitting forces or torques is usually called a machine.
Engine A machine that involves conversion of energy to produce mechanical power is commonly called an engine. Thus, the crankshaft, connecting rod, piston, and cylinder of an automotive engine would be an engine by the above definitions, while other drive train components such as the transmission, differential, and universal joint would be considered machines. Machines and engines may have the same configuration as other mechanisms that do not convert energy and are not intended to transmit significant levels of force or torque. Thus, for the purpose of kinematic analysis, the above distinction between mechanism, machine, and engine may be of only academic importance.
A Mechanism has been defined as “a combination of rigid or resistant bodies so formed and connected that they move upon each other with definite relative motion.”
Mechanisms form the basic geometrical elements of many mechanical devices including automatic packaging machinery, typewriters, mechanical toys, textile machinery, and others. A mechanism typically is designed to create a desired motion of a rigid body relative to a reference member. Kinematic design of mechanisms is often the first step in the design of a complete machine. When forces are considered, the additional problems of dynamics, bearing loads, stresses, lubrication, and the like are introduced, and the larger problem becomes one of machine design.
The function of a mechanism is to transmit or transform motion from one rigid body to another as part of the action of a machine. There are three types of common mechanical devices that can be used as basic elements of a mechanism.
Gear Systems Gear systems, in which toothed members in contact transmit motion between rotating shafts. Gears normally are used for the transmission of motion with a constant angular velocity ratio, although noncircular gears can be used for nonuniform transmission of motion.
Cam Systems Cam systems, where a uniform motion of an input member is converted into a nonuniform motion of the output member. The output motion may be either shaft rotation, slider translation, or other follower motions created by direct contact between the input cam shape and the follower. The kinematic design of cams involves the analytical or graphical specification of the cam surface shape required to drive the follower with a motion that is a prescribed function of the input motion.
Plane and Spatial Linkages They are also useful in creating mechanical motions for a point or rigid body. Linkages can be used for three basic tasks.
(1) Rigid body guidance. A rigid body guidance mechanism is used to guide a rigid body through a series of prescribed positions in space.
(2) Path generation mechanism will guide a point on a rigid body through a series of points on a specified path in space.
(3) Function generation. A mechanism that creates an output motion that is a specified function of the input motion.
Mechanisms may be categorized in several different ways to emphasize their similarities and differences. One such grouping divides mechanisms into planar, spherical, and spatial categories. All three groups have many things in common; the criterion which distinguishes the groups, however, is to be found in the characteristics of the motions of the links.
A planar mechanism is one in which all particles describe plane curves in space and all these curves lie in parallel planes; i.e. the loci of all points are plane curves parallel to a single common planar mechanism in its true size and shape on a single drawing or figure. The plane four-bar linkage, the plate cam and follower, and the slider-crank mechanism are familiar examples of planar mechanisms. The vast majority of mechanisms in use today are planar.
A spherical mechanism is one in which each link has some point which remains stationary as the linkage moves and in which the stationary points of all links lie at a common location; i.e., the locus of each point is a curve contained in a spherical surface, and the spherical surfaces defined by several arbitrarily chosen points are all concentric. The motions of all particles can therefore be completely described by their radial projections, or “shadows,” on the surface of a sphere with properly chosen center. Hooke’s universal joint is perhaps the most familiar example of a spherical mechanism.
Spatial mechanisms, on the other hand, include no restrictions on the relative motions of the particles. The motion transformation is not necessarily coplanar, nor must it be concentric. A spatial mechanism may have particles with loci of double curvature. Any linkage which contains a screw pair, for example, is a spatial mechanism, since the relative motion within a screw pair is helical.
機(jī)構(gòu)與機(jī)器
一個(gè)系統(tǒng)，它按預(yù)先確定的方式來傳輸動(dòng)力完成的具體的目標(biāo)也許可以被認(rèn)為是機(jī)器。一種機(jī)構(gòu)也可以以類似的方式定義，但長期的機(jī)構(gòu)通常是適用于一個(gè)系統(tǒng)的主要職能是傳遞運(yùn)動(dòng)。運(yùn)動(dòng)學(xué)是研究機(jī)構(gòu)運(yùn)動(dòng)，而分析力和力矩的機(jī)械稱為動(dòng)力學(xué)。
一旦需要給出識(shí)別一個(gè)機(jī)構(gòu)或機(jī)械裝置的特點(diǎn)，設(shè)計(jì)過程就開始了。通常需要仔細(xì)地分析位移，速度和加速度。這部分的設(shè)計(jì)過程后，其次是分析力和力矩。設(shè)計(jì)過程中可能會(huì)繼續(xù)很長時(shí)間后產(chǎn)生第一種模式，其中包括重新設(shè)計(jì)的組成部分，影響速度，加速度，力和力矩。年復(fù)一年的為了競爭成功，大部分的制造商必須不斷地修改他們的產(chǎn)品及其生產(chǎn)方法。提高生產(chǎn)速度，提高產(chǎn)品性能，重新設(shè)計(jì)的成本和減輕體重，運(yùn)動(dòng)分析和新的生產(chǎn)線往往是需要的。成功或許取決于正確的運(yùn)動(dòng)學(xué)和動(dòng)力學(xué)的分析的問題。
許多基本的連接裝置構(gòu)造世紀(jì)以前已經(jīng)成為機(jī)器設(shè)計(jì)的組成部分，和我們使用這個(gè)術(shù)語形容當(dāng)時(shí)的變化超過一年。因此，定義和專門的術(shù)語將不符合整個(gè)技術(shù)的文獻(xiàn)。在大多數(shù)情況下，但是，含義將是明確的背景下形成的重要性的描述。有幾個(gè)方面特別感興趣的研究機(jī)器運(yùn)動(dòng)學(xué)和動(dòng)力學(xué)的定義如下。
桿件 一個(gè)桿件是一個(gè)嚴(yán)格的機(jī)構(gòu)或其共同組成一個(gè)運(yùn)動(dòng)鏈。長期嚴(yán)格的桿件或有時(shí)只是使用一個(gè)理想化的桿件研究，由于機(jī)件拉緊不考慮微小撓度。一個(gè)完全不彎曲或不可拉長的桿件可能存在不僅是一種教科書式的模型，一個(gè)真正的機(jī)器的構(gòu)件。對(duì)于典型的機(jī)械部分，最大尺寸的變化是只有長度部分的千分之一。當(dāng)我們考慮多數(shù)機(jī)械裝置的運(yùn)動(dòng)特性時(shí)我們有理由忽視這個(gè)小小的運(yùn)動(dòng)。這個(gè)桿件定理中使用的一般意義上包括凸輪，齒輪，和其他構(gòu)件除了曲柄、連桿和其他引腳連接組件。
自由度 自由度的數(shù)量的聯(lián)系是一些獨(dú)立的參數(shù)必須立場的每一個(gè)環(huán)節(jié)相對(duì)內(nèi)或固定桿件。如果即可改造的系統(tǒng)可以完全確定指定一個(gè)獨(dú)立的變量，該系統(tǒng)有一個(gè)自由度。多數(shù)實(shí)用的機(jī)械裝置就有一個(gè)自由度。
一個(gè)無約束剛體有6個(gè)自由度：直線移動(dòng)在三個(gè)坐標(biāo)和旋轉(zhuǎn)運(yùn)動(dòng)三個(gè)坐標(biāo)軸。如果該機(jī)構(gòu)是限制于在一個(gè)平面運(yùn)動(dòng)，那有三個(gè)自由度：直線運(yùn)動(dòng)在兩個(gè)坐標(biāo)方向和在平面內(nèi)的旋轉(zhuǎn)。
高副和低副 鏈接的剛體之間包括高副和低副兩個(gè)要素。這兩個(gè)因素中的低副是兩個(gè)理論表面之間的接觸，而這兩個(gè)因素中的高副是理論的點(diǎn)或線接觸（如果我們忽視了撓度）。
低副是從設(shè)計(jì)的角度來看是可取的，由于聯(lián)合負(fù)荷以及由此產(chǎn)生的磨損分布在整個(gè)接觸面。因此，幾何變化或失敗而高接觸應(yīng)力和過度磨損或許是可以避免的。
機(jī)械裝置 機(jī)械裝置是一個(gè)運(yùn)動(dòng)鏈系中的一環(huán)被認(rèn)為是特定的目的是為了分析，但運(yùn)動(dòng)可能是其他的環(huán)節(jié)。如上所述，特定的桿件為指定的桿件不需要與實(shí)際相對(duì)固定在地球表面。如果運(yùn)動(dòng)學(xué)鏈主要目的是緩和或傳輸動(dòng)力，其就通常被作為一種機(jī)械裝置，
機(jī)器 這種機(jī)構(gòu)設(shè)計(jì)是為達(dá)到轉(zhuǎn)遞動(dòng)力或力矩的目的通常是所謂的機(jī)器。
發(fā)動(dòng)機(jī) 一個(gè)機(jī)器需要能量轉(zhuǎn)換而產(chǎn)生的機(jī)械動(dòng)力通常稱為發(fā)動(dòng)機(jī)。因此，曲軸，連桿，活塞和氣缸的自動(dòng)的發(fā)動(dòng)機(jī)由上面所述的發(fā)動(dòng)機(jī)的定義，而其他的傳動(dòng)部件，例如變速箱，差速器，和萬向聯(lián)軸器都被稱為為機(jī)械裝置。機(jī)器和發(fā)動(dòng)機(jī)或許有相同裝置，其他的機(jī)械裝置不能轉(zhuǎn)換動(dòng)力，而是為了傳輸大的動(dòng)力或者是扭矩。因此，為了運(yùn)動(dòng)學(xué)的分析，上述機(jī)械裝置、機(jī)器、發(fā)動(dòng)機(jī)之間的區(qū)別，可能僅僅在學(xué)術(shù)上有重要性。
機(jī)構(gòu)就是：由剛體或者是有承載能力的物體連接而組成的組合體，他們?cè)谶\(yùn)動(dòng)時(shí)候彼此間具有確定的相互運(yùn)動(dòng)。
機(jī)構(gòu)是由構(gòu)成這些機(jī)械設(shè)備的基本的幾何單元，這些機(jī)械設(shè)備包括自動(dòng)包裝機(jī)、打字機(jī)、機(jī)械的玩具、紡織機(jī)等等。機(jī)構(gòu)設(shè)計(jì)的目的是使一個(gè)剛體相對(duì)某一個(gè)參考的構(gòu)件產(chǎn)生所需要的相對(duì)運(yùn)動(dòng)。機(jī)構(gòu)的運(yùn)動(dòng)設(shè)計(jì)通常是設(shè)計(jì)一個(gè)完整的機(jī)器的第一步。在考慮力的作用時(shí)應(yīng)該考慮動(dòng)力學(xué)、軸承的載荷、應(yīng)力、潤滑等一系列問題。在所考慮的問題的范圍擴(kuò)大之后，機(jī)構(gòu)設(shè)計(jì)就變成了機(jī)器設(shè)計(jì)。
作為機(jī)器的一個(gè)組成部分，機(jī)構(gòu)的作用是在剛體之間相互傳遞或轉(zhuǎn)換運(yùn)動(dòng)。經(jīng)常用到的基本機(jī)構(gòu)有以下三種：應(yīng)該考慮動(dòng)力學(xué)、軸承的載荷、應(yīng)力、潤滑等一系列問題。在所考慮的問題的范圍擴(kuò)大之后，機(jī)構(gòu)設(shè)計(jì)就變成了機(jī)器設(shè)計(jì)。
作為機(jī)器的一個(gè)組成部分，機(jī)構(gòu)的作用是在剛體之間相互傳遞或轉(zhuǎn)換運(yùn)動(dòng)。經(jīng)常用到的基本機(jī)構(gòu)有以下三種：
齒輪機(jī)構(gòu) 在這種機(jī)構(gòu)中，各各轉(zhuǎn)軸之間的運(yùn)動(dòng)是由相互嚙合的齒輪來傳遞。齒輪通常用來傳遞角速度比常值的運(yùn)動(dòng)，但是非圓輪可以用來傳遞角速度比為變數(shù)的運(yùn)動(dòng)。
凸輪機(jī)構(gòu) 在這種機(jī)構(gòu)中，輸入件的等速連續(xù)運(yùn)動(dòng)被轉(zhuǎn)換成輸出件的不等速運(yùn)動(dòng)。輸出的運(yùn)動(dòng)可以是軸的轉(zhuǎn)動(dòng)、滑塊的移動(dòng)、或者其他從動(dòng)件的運(yùn)動(dòng)。這些運(yùn)動(dòng)都是從動(dòng)件與作為輸入件的凸輪的輪廓的直接接觸而產(chǎn)生的。凸輪的運(yùn)動(dòng)設(shè)計(jì)就是采用解析法或者是圖解法來確定凸輪的輪廓形狀，使其能夠帶動(dòng)從動(dòng)件實(shí)現(xiàn)輸出運(yùn)動(dòng)的制定函數(shù)這個(gè)功能。
平面和空間連桿機(jī)構(gòu) 此類機(jī)構(gòu)也是用來使機(jī)構(gòu)上的某一點(diǎn)或者是剛體實(shí)現(xiàn)機(jī)械運(yùn)動(dòng)的，兩岸的基本作用有三種：
（1）剛體導(dǎo)向 剛體導(dǎo)向機(jī)構(gòu)是用來引導(dǎo)一個(gè)剛體，使其通過空間的一系列預(yù)訂的位置;
（2）實(shí)現(xiàn)軌跡 實(shí)現(xiàn)軌跡機(jī)構(gòu)將引導(dǎo)剛體上的一個(gè)點(diǎn)，使其通過空間指定的空間軌跡上的一系列點(diǎn)；
（3）實(shí)現(xiàn)函數(shù) 此類機(jī)構(gòu)所產(chǎn)生的輸出運(yùn)動(dòng)是輸出運(yùn)動(dòng)的指定函數(shù)。
為了強(qiáng)調(diào)各種機(jī)構(gòu)之間的相同之處和不同之處，可以把它們按照幾種不同的方式進(jìn)行分類。一種分類方式就是將機(jī)構(gòu)分成平面、球面和空間等三類。這三類機(jī)構(gòu)有很多共同之處，然而，可以根據(jù)其構(gòu)件的運(yùn)動(dòng)特點(diǎn)來確定分類準(zhǔn)則。
在平面機(jī)構(gòu)中，所有的質(zhì)點(diǎn)在空間所走過的軌跡都是平面曲線，所有這些平面曲線都位于相互平行平面上，也就是說所有的軌跡都是平行于一個(gè)共同平面的平面曲線。這一特性使平面機(jī)構(gòu)上任意選定的一個(gè)點(diǎn)都可以按其真實(shí)尺寸和形狀在一個(gè)視圖上表示出運(yùn)動(dòng)軌跡。平面四桿機(jī)構(gòu)、平板凸輪機(jī)構(gòu)和其他的從動(dòng)件、曲柄滑塊機(jī)構(gòu)是大家都比較熟悉的平面機(jī)構(gòu)的例子?，F(xiàn)在使用的機(jī)構(gòu)大多數(shù)機(jī)構(gòu)是平面機(jī)構(gòu)。
在球面機(jī)構(gòu)中，當(dāng)機(jī)構(gòu)運(yùn)動(dòng)時(shí)，每一個(gè)構(gòu)件上都有一個(gè)點(diǎn)是靜止的所有構(gòu)件的靜止點(diǎn)都處于同一個(gè)位置，也就是說每一點(diǎn)的軌跡都是球面曲線。所有各點(diǎn)運(yùn)動(dòng)時(shí)所在的球面都是同心的。因而，所有質(zhì)點(diǎn)的運(yùn)動(dòng)都能用它們?cè)谝赃m當(dāng)選取的點(diǎn)為中心的球面上的徑向投影來完整的進(jìn)行描述。虎克萬向聯(lián)軸器或許會(huì)是人們最熟悉的一個(gè)球面機(jī)構(gòu)的例子。
從另一方面講，在空間機(jī)構(gòu)中質(zhì)點(diǎn)的相對(duì)運(yùn)動(dòng)不受約束。運(yùn)動(dòng)的變換不要求共面，不要求同心?？臻g機(jī)構(gòu)上許多質(zhì)點(diǎn)的運(yùn)動(dòng)軌跡可能具有雙重曲率。舉例子，任何含有螺旋副的連桿機(jī)構(gòu)，由于它的相對(duì)運(yùn)動(dòng)是螺旋線形的，因此是空間的機(jī)構(gòu)。