یک رابطه جدید برای المان‌های پیوند در محاسبه اثر ضربه، بر پایه آثار ضریب استرداد و سرعت برخورد

نویسندگان
1 , University of Porto (FEUP), Porto, Portugal
2 دانشگاه سمنان
چکیده
چکیده-اثر ضربه ساختمان ها هنگام زلزله و آثار آسیب زای آن، به گونه ای گسترده بررسی شده است. از آن جا که ساختمان ها به صورت منفرد و بدون توجه به شرایط ساختمان کناری، طراحی و ساخته می شوند، با وارد شدن بارهای لرزه ای، هر ساختمان رفتار متفاوتی از خود بروز داده و تغییرمکان های کناری آن ها بر اساس جنس سازه، ارتفاع آن و همچنین مود ارتعاشی هر یک از آن ها ایجاد می شود. این تفاوت رفتاری سبب می شود که ساختمان ها با یکدیگر برخورد کرده و آسیب هایی به اعضای سازه ای آن ها وارد شود. پژوهشگران بسیاری درباره ی نیروی وارد شده در اثر ضربه ساختمان ها و انرژی هدر رفته در این رخداد مطالعه کرده اند. برای به دست آوردن این نیرو و میزان انرژی آن، بررسی های عددی نیاز به المان مجازی دارد که شامل فنر و میراگر است و به صورت موازی با هم به محل اتصال دو جسم مورد مطالعه وصل می شود. روابط ریاضی زیادی برای به دست آوردن نیروی وارد شده و انرژی دقیق و واقعی تر ارائه شده است. در این پژوهش با استفاده از رابطه جدید محاسبه ضریب میرایی، آثار ضریب استرداد، بررسی شده و برای همگرایی پاسخ های داده شده در بررسی های عددی ضربه، رابطه ای ریاضی برای آن و سرعت برخورد پیشنهاد شده است.

کلیدواژه‌ها


عنوان مقاله English

Suggestion of a New Link Element to Calculate the Impact Force and Energy Dissipation Based on CR-Factor and Impact Velocity

نویسندگان English

H. Naderpour
H. Naderpour
Rui C. Barros 1
S.M. Khatami 2
1 Semnan University
2 , Semnan University, Semnan, Iran
چکیده English

Nowadays, buildings are built without required separation distance as many engineers do not consider building pounding effects. If adjacent buildings are not separated properly from each other, pounding can occur upon earthquake occurrence, and severe damages to the buildings can be observed even if they are well designed and constructed. Engineers should realize that building pounding is a serious hazard and it has to be considered during design and construction of buildings. There are many residential building complexes, service office, agencies, schools and hospital in cities around the world which are located next to each other as the cost of land is high. In this term, hospitals with emergency facilities and emergency centers have to be protected against the damages due to the significance of such structures prior and after earthquake.
Many researchers have studied building pounding to calculate the dissipated energy and the impact force between two buildings during earthquake. For this challenge, they need to have a link element, which describes impact by using spring and dashpot. Several mathematical equations were suggested to calculate two mentioned parameters. In this paper, based on mathematic relation, a new relation of damping term of impact formula is simulated to measure impact force and energy dissipation. The results of this formula are compared with another suggested formula.
As it was mentioned, different materials used in building constructions cause various dynamic behaviors during earthquake. Concrete structures are typically more rigid than steel structures in similar conditions. Consequently, lateral displacements of concrete buildings may also be less than lateral displacements of similar steel structures as stiffness of concrete buildings causes decrease in natural periods during earthquake. Naturally, large lateral nonlinear displacements under time history lateral loading in concrete structures may not be observed. Buildings can collide with adjacent buildings in left and right directions. For concrete buildings, however, the impact of pounding may be more significant than those on steel structures in most situations
Many researchers have suggested new relations in terms of impact to increase the dissipated energy. Based on mathematic relation, they showed that energy dissipation depends significantly on stiffness, impact velocity and coefficient of restitution. For this challenge, by using a suggested link element, a new formula is presented to calculate the impact force and energy dissipation. To optimize the results of dissipated energy, a new relation between CR and impact velocity is suggested. As it seems that it is a need to have a reference curve to select impact velocity based on coefficient of restitution, several impact velocity and CR were evaluated. Using this curve, all of results can be optimized. Finally, a new equation of motion is assumed to select the best impact velocity and coefficient of restitution.

کلیدواژه‌ها English

Impact
Impact Velocity
Dissipated Energy
Damping