[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-648391-105":59,"doc-detail-648391-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","physical-models-of-an-elevator-version-05-concept-2025-08-16","Physical Models of an Elevator - version 0.5 - concept - 2025-08-16","","An elevator is modeled as a simple physical system to explain design-relevant behavior through kinematics and energy-consumption considerations. The material presents low-level motion models, starting from a trivial setup and extending through first- and second-order corrections using acceleration and jerk limits. It also connects model outputs—time, velocity, and acceleration—to constraints for passengers’ comfort and motor/control considerations, including example parameter choices for reaching the top floor.",{"@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":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/physical-models-of-an-elevator-version-05-concept-2025-08-16/648391/",{"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/physical-models-of-an-elevator-version-05-concept-2025-08-16/648391.png","ImageObject",300,407,{"name":92,"@type":93},"Syukur Setiap Hari","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-26","2026-10-23",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What physical aspects does the document model for an elevator?","Question",{"text":112,"@type":113},"It models a few physical aspects using kinematic models and examines energy consumption. It focuses on how motion constraints influence design considerations.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What do the document’s main motion quantities represent?",{"text":117,"@type":113},"S(t) is position at time t, v(t) is velocity, a(t) is acceleration, and j(t) is jerk. These are linked by v = dS/dt, a = dv/dt, and j = d a/dt.",{"name":119,"@type":110,"acceptedAnswer":120},"How is the time to reach the top floor estimated in the 0th and 1st order models?",{"text":121,"@type":113},"The 0th order model assumes constant velocity, using ttop floor = Stop floor / vmax. The 1st order model assumes constant acceleration, using ttop floor = ta + tv + ta, derived from relations for the distance covered during acceleration and the remaining distance at linear velocity.","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},648391,1793051620,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":8,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":36,"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},962093541965,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Physical Models of an Elevator  \nby Gerrit Muller University of South-Eastern Norway USN-SE  \ne-mail: [gaudisite@gmail.com](gaudisite@gmail.com)  \n[www.gaudisite.nl](www.gaudisite.nl)  \nAbstract  \nAn elevator is used as a simple system to model a few physical aspects. We will show simple kinematic models and we will consider energy consumption. These low level models are used to understand (physical) design considerations. Elsewhere we discuss higher level models, such as use cases and throughput, which complement these low level models.  \nDistribution  \nThis article or presentation is written as part of the Gaudí project. The Gaudí project philosophy is to improve by obtaining frequent feedback. Frequent feedback is pursued by an open creation process. This document is published as intermediate or nearly mature version to get feedback. Further distribution is allowed as long as the document remains complete and unchanged.  \nAugust 16, 2025 status: concept  \nversion: 0.5  \n\n| 1st order model\u003Cbr>\u003Cbr>S(ta) = ~~ ~~12 * amax * ta2\u003Cbr>ta =√( S(ta)/ (0 .5*amax))\u003Cbr>tone floor = 2 ta =2√( S(ta)/ (0 .5*amax)) v(ta) = amta v(ta) ~= 1.2* 1.6 ~= 1.9 m/s\u003Cbr>\u003Cbr>input data\u003Cbr>S0 = 0m Sone floor = 3mvmax = 2.5 m/s\u003Cbr>amax = 1.2 m/s2 (up) jmax = 2.5 m/s3\u003Cbr>tone floor ~=\u003Cbr>2√( 1 .5 / (0 .5* 1.2)) ~= 2 * 1.6s ~= 3s |\n| --- |\n| coarse 2nd order correction\u003Cbr>\u003Cbr>v\u003Cbr>tone floor = 2 ta + 2 tj\u003Cbr> tj ~= 0.5s\u003Cbr>\u003Cbr>tj ta ta tj t \u003Cbr>\u003Cbr>tone floor~= 2* 1.6 + 2*0.5 ~= 4s |\n\nTo understand the need for  \n· various views, e.g. physical, functional, performance  \n· mathematical models  \n· quantified understanding  \n· assumptions (when input data is unavailable yet) and later validation  \n· various visualizations, e.g. graphs  \n· understand and hence model at multiple levels of abstraction  \n· starting simple and expanding in detail, views, and solutions gradually, based on increased insight  \nTo see the value and the limitations of these conceptual models  \nTo appreciate the complementarity of conceptual models to other forms of modeling, e.g. problem specific models (e.g. structural or thermal analysis) , SysML models, or simulations  \nPhysical Models of an Elevator 3 Gerrit Muller  \nversion: 0.5 August 16, 2025 EPMlearningGoals  \nwarning  \nThis presentation starts with a trivial problem.  \nHave patience!  \nExtensions to the trivial problem are used to illustrate  \nmany different modeling aspects.  \nFeedback on correctness and validity is appreciated  \nbuilding  \n\n| top floor |  |  |  |\n| --- | --- | --- | --- |\n|  | |  |  |\n| elevator |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n\n  40 m    \ninhabitants want to reach  \ntheir destination fast and comfortable  \nbuilding owner and service operator have economic constraints:  \nspace, cost, energy, . ..  \nSt = position at time t  \nvt = velocity at time t  \nat = acceleration at time tjt = jerk at time t  \nv =  \ndS  \ndt  \na =  \ndv  \ndt  \nj = ~~ ~~ddat~~ ~~  \nPosition in case of uniform acceleration:  \nSt = S0 + v0t + ~~ ~~12  \na0t2  \nbuilding  \n\n| top floor | |  |\n| --- | --- | --- |\n| elevator |  |  |\n|  |  |  |\n|  |  |  |\n\n   40 m    \nWhat values do you expect or prefer for these quantities? Why?  \nttop floor = time to reach top floor v max = maximum velocity a max = maximum acceleration j max = maximum jerk  \nbuilding  \n\n| top floor |  |  |  |\n| --- | --- | --- | --- |\n|  | |  |  |\n| elevator |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n\n  40 m    \nGoogle \"elevator\" and \"jerk\" :  \nttop floor ~= 16 s  \n12% of gravity; weight goes up  \nvmax ~= 2.5 m/s amax ~= 1.2 m/s2 (up)   \nrelates to motor design and energy consumption  \njmax ~= 2.5 m/s3 ~~ ~~ relates to control design  \nhumans feel changes of forces high jerk values are uncomfortable  \nnumbers from: [http://www.sensor123.com/vm_eva625.htm](http://www.sensor123.com/vm_eva625.htm)  \nCEP Instruments Pte Ltd Singapore  \ninput data  \nS0 = 0m St = 40mv max = 2.5 m/s  \na max = 1.2 m/s2 (up) j max = 2.5 m/s3  \nelementary formulas  \nv =  \ndS  \ndt  \na =  \ndv  \ndt  \nj = ~~","cbCaiebn90QcsSGy","https://ap.wps.com/l/cbCaiebn90QcsSGy","pdf",1074972,"English","# Abstract\n# Distribution and Status\n# 1st Order Model\n# Coarse 2nd Order Correction\n# Modeling Goals and Abstraction Levels\n# Elevator Motion Definitions\n# Expected Parameter Values\n# Time to Reach Top Floor Models\n## 0th Order Model\n## 1st Order Model","[{\"question\":\"What physical aspects does the document model for an elevator?\",\"answer\":\"It models a few physical aspects using kinematic models and examines energy consumption. It focuses on how motion constraints influence design considerations.\"},{\"question\":\"What do the document’s main motion quantities represent?\",\"answer\":\"S(t) is position at time t, v(t) is velocity, a(t) is acceleration, and j(t) is jerk. These are linked by v = dS/dt, a = dv/dt, and j = d a/dt.\"},{\"question\":\"How is the time to reach the top floor estimated in the 0th and 1st order models?\",\"answer\":\"The 0th order model assumes constant velocity, using ttop floor = Stop floor / vmax. The 1st order model assumes constant acceleration, using ttop floor = ta + tv + ta, derived from relations for the distance covered during acceleration and the remaining distance at linear velocity.\"}]","Physical Models of an Elevator - version 0.5 - concept - 2025-08-16 | PDF",1792793322,101]