{"id":558963,"date":"2024-11-05T18:22:33","date_gmt":"2024-11-05T18:22:33","guid":{"rendered":"https:\/\/pdfstandards.shop\/product\/uncategorized\/esdu-900072010\/"},"modified":"2024-11-05T18:22:33","modified_gmt":"2024-11-05T18:22:33","slug":"esdu-900072010","status":"publish","type":"product","link":"https:\/\/pdfstandards.shop\/product\/publishers\/esdu\/esdu-900072010\/","title":{"rendered":"ESDU 90007:2010"},"content":{"rendered":"<p>This Data Item presents four procedures for the design of<br \/>\ncounterweights which, when fixed to shafts rotating with constant<br \/>\nangular velocity, improve the balance of machines that incorporate<br \/>\nsingle degree-of-freedom, planar, multibar linkage mechanisms. The<br \/>\nframe shaking force<sup>\u2020<\/sup> and\/or the frame shaking<br \/>\nmoment<sup>\u2020<\/sup> may be reduced by using the procedures contained<br \/>\nin this Item to determine the optimum sizes and locations of the<br \/>\ncounterweights which form the following devices.<\/p>\n<p>(a) Lanchester Balancer \u2013 in which two rotating masses are sized<br \/>\nand aligned to eliminate a single frequency term of the frame<br \/>\nshaking force in a chosen direction fixed with respect to the frame<br \/>\nand in the plane of the linkage (see Section 3).<\/p>\n<p>(b) Single Counterweight Balancer \u2013 in which one rotating mass<br \/>\nis sized and aligned to minimise the average frame shaking force<br \/>\n(see Section 4).<\/p>\n<p>(c) Generalised Lanchester Balancer \u2013 in which two rotating<br \/>\nmasses are sized and aligned to eliminate a single frequency term<br \/>\nof the frame shaking force in the plane of the linkage (see Section<br \/>\n5).<\/p>\n<p>(d) Moment Balancer \u2013 in which two rotating masses are sized and<br \/>\naligned to eliminate a single frequency term of the frame shaking<br \/>\nmoment (see Section 6).<\/p>\n<p>Computer program, ESDUpac A9007, supplied with this Data Item<br \/>\ncan be used to carry out all the required calculations (see<br \/>\nSections 9 and 10). The criteria for choosing an appropriate method<br \/>\nare included in ESDU 89043 (Reference 6). The use of rotating<br \/>\ncounterweights to improve balance has, in general, the following<br \/>\nadvantages.<\/p>\n<p>(i) Often these methods require little extra space and so are<br \/>\nespecially suited to retrofitting existing machinery.<\/p>\n<p>(ii) Linkage joint forces, other than those connecting<br \/>\ncounterweighted shafts to the fixed frame are unchanged and so<br \/>\nbearing re-design is not usually necessary.<\/p>\n<p>(iii) Peak-to-peak input torque during steady-state operation is<br \/>\nnot altered.<\/p>\n<p>It should be noted, however, that balancing by the methods<br \/>\npresented in this Item will not necessarily provide the best<br \/>\npossible improvement in dynamic performance. The use of rotating<br \/>\ncounterweights can give only a partial reduction in frame shaking<br \/>\nforce. The attainable degree of reduction is dependent on the<br \/>\nparticular application and is difficult to predict without detailed<br \/>\ncalculation. If extra shafts, gears and bearings are necessary then<br \/>\ncosts may be high and space may not be available. The torque<br \/>\nrequired to accelerate and decelerate the machine will be increased<br \/>\nso more powerful prime movers and more effective brakes may be<br \/>\nrequired.<\/p>\n<p><sup>\u2020<\/sup> See Section 2.1.1 for definition.<\/p>\n","protected":false},"excerpt":{"rendered":"<p><b>Procedures for Balancing Planar Linkages Using Rotating Counterweights<\/b><\/p>\n<table style=\"width: 100%\" border=\"0\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td>Published By<\/td>\n<td>Publication Date<\/td>\n<td>Number of Pages<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/pdfstandards.shop\/product-category\/publishers\/esdu\/\"><b>ESDU<\/b><\/a><\/td>\n<td>2010-07<\/td>\n<td>NA<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n","protected":false},"featured_media":0,"template":"","meta":{"rank_math_lock_modified_date":false,"ep_exclude_from_search":false},"product_cat":[2675],"product_tag":[],"class_list":{"0":"post-558963","1":"product","2":"type-product","3":"status-publish","5":"product_cat-esdu","7":"first","8":"instock","9":"sold-individually","10":"shipping-taxable","11":"purchasable","12":"product-type-simple"},"_links":{"self":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product\/558963","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product"}],"about":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/types\/product"}],"wp:attachment":[{"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/media?parent=558963"}],"wp:term":[{"taxonomy":"product_cat","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_cat?post=558963"},{"taxonomy":"product_tag","embeddable":true,"href":"https:\/\/pdfstandards.shop\/wp-json\/wp\/v2\/product_tag?post=558963"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}