[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-632349-105":59,"doc-detail-632349-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","multi-blade-monolithic-euler-springs-with-optimised-stress-distribution","Multi-blade monolithic Euler springs with optimised stress distribution","","Euler springs enable vertical suspension and vibration isolation by delivering large static support force with low spring rate and minimal material use. Prior designs used stacked rectangular blades that buckle alternately, requiring blade-end clamping and causing stick-slip problems. This study evaluates a monolithic-sheet architecture forming multiple oppositely buckling blades side-by-side, aiming to distribute stress evenly via width contouring and to optimize joining contours at tearing interfaces between bending blades.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/multi-blade-monolithic-euler-springs-with-optimised-stress-distribution/632349/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/multi-blade-monolithic-euler-springs-with-optimised-stress-distribution/632349.png","ImageObject",300,407,{"name":92,"@type":93},"Jordan Avery","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-10-22",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Why are vibration isolation systems necessary for gravitational-wave detectors?","Question",{"text":112,"@type":113},"They decouple test masses from Earth’s seismic motion so the masses approximate freely falling behavior along the sensing axis. Even small non-perpendicular gravitational effects and motion coupling make vertical isolation nearly as critical as horizontal isolation.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What limitation arises in earlier vertically stacked Euler-spring blade designs?",{"text":117,"@type":113},"They require clamping the blade ends, which can create stick-slip problems. This affects the buckling behavior and the resulting stress and resonance characteristics.",{"name":119,"@type":110,"acceptedAnswer":120},"How does the proposed monolithic multi-blade design aim to improve stress distribution?",{"text":121,"@type":113},"By forming multiple oppositely buckling blades side-by-side from a single monolithic sheet, using width contouring to distribute stress evenly along the blade length and optimizing joining contours to balance stress around tearing joints between bending blades.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},632349,1792941208,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":44,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144},1099523882367,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Multi-blade monolithic Euler springs with optimised stress distribution  \nJ.V. van Heijningen1,†, J. Winterflood1 and L. Ju1  \n1 OzGrav-UWA node, University of Western Australia, 35 Stirling Hwy, Crawley WA 6009, Australia E-mail:†[joris.vanheijningen@uclouvain.be](joris.vanheijningen@uclouvain.be)  \nAbstract. Euler springs are used for vertical suspension and vibration isolation as they provide a large static supporting force with low spring-rate and use minimal spring material. To date multiple single-width, verticallystacked, rectangular blades of uniform thickness have been used in the post buckled state, with half of the number buckling in each of opposing directions. This structure requires clamping the ends of the blades giving stick-slip problems. In this study we investigate the benefits of forming multiple, oppositely buckling blades, side-by-side from a single monolithic sheet of spring material. We investigate how to distribute the stress evenly along the length of the blade by contouring its width, as well as finding the optimal joining contour to distribute the stress evenly around the tearing joints between oppositely bending blades.  \nKeywords: Gravitational waves, Vibration isolation, Euler springs, Seismic noise  \nIntroduction  \nWith the first detection of gravitational waves (GWs) [1], we as mankind have made our most precise distance measurement to date. The first coincidence measurement of GWs with electromagnetic counterparts, GW170817, from a binary neutron star merger [2, 3] has provided a firm basis for the newly founded field of multi-messenger gravitational wave astronomy.  \nAll these monumental measurements would not have been possible without decoupling the test masses of the detectors from the Earth’s ever-present seismic motion. Vibration isolation systems are used in all GW detectors. Isolated objects approximate the notion of a freely falling (test) mass in the axis of interest for GW detection, i.e. the direction in line with main laser beam. However the multi-kilometre extent of the laser cavities and finite radius of the earth means that the gravitational pull on the test masses at each end is not perpendicular to the cavity, but acts on a slight angle (a fraction of a mrad) to the sensing axis. This angle, together with construction tolerances (which couple vertical-to-horizontal motion) mean that vertical vibration isolation has been almost as critical as horizontal isolation in all GW detection efforts.  \nThe measurement sensitivity at the test mass exceeds that of any available sensor, so the last stages of vibration isolation necessarily consist of passive mechanical spring-mass stages cascaded one after the other to achieve the required isolation. Various styles of spring-mass structures have been developed for the Gingin High Power Optical Test Facility [4, 5], operated by the University of Western Australia (UWA), Advanced Virgo [6] and KAGRA [7] . Vertical vibration isolation is achieved in Advanced Virgo with horizontal cantilever springs with some magnetic non-linearity added to provide some anti-spring [8] around the operating region to lower the resonance frequency. In KAGRA, building on the experience of TAMA300 [10], Geometric Anti-Spring (GAS) [9] structures are used. These also use cantilever springs, but set at an angle up from horizontal, with each cantilever compressed longitudinally against a partner with mirror or radial symmetry, to achieve some non-linear snap-through effect which lowers the resonance frequency around the operating region.  \nBoth of these approaches have a large amount of vertical suspension energy (mgdh of initial deflection h)  \nstored in the spring material which necessitates a large spring mass commensurate with the energy stored. The GAS structure even has a significant fraction of additional stored energy in the longitudinal compression which acts as an anti-spring to cancel most of the normal spring coefficient. By contrast the UWA isolators em","cbCailfOloP1HGMn","https://ap.wps.com/l/cbCailfOloP1HGMn","pdf",1397596,"English","# Introduction\n## Gravitational waves and the need for vibration isolation\n## Passive spring-mass stages in GW detectors\n## Euler springs and buckling-based isolation principles","[{\"question\":\"Why are vibration isolation systems necessary for gravitational-wave detectors?\",\"answer\":\"They decouple test masses from Earth’s seismic motion so the masses approximate freely falling behavior along the sensing axis. Even small non-perpendicular gravitational effects and motion coupling make vertical isolation nearly as critical as horizontal isolation.\"},{\"question\":\"What limitation arises in earlier vertically stacked Euler-spring blade designs?\",\"answer\":\"They require clamping the blade ends, which can create stick-slip problems. This affects the buckling behavior and the resulting stress and resonance characteristics.\"},{\"question\":\"How does the proposed monolithic multi-blade design aim to improve stress distribution?\",\"answer\":\"By forming multiple oppositely buckling blades side-by-side from a single monolithic sheet, using width contouring to distribute stress evenly along the blade length and optimizing joining contours to balance stress around tearing joints between bending blades.\"}]","Multi-blade monolithic Euler springs with optimised stress distribution | PDF",1792670322,23]