Numerical-experimental study of neighboring wind effects on tall buildings related to serviceability via reliability

Reis, Matheus Nunes; Lavôr, Thiarly Feitosa Afonso de; Pantoja, João da Costa; Brito, José Luís Vital de

doi:10.1590/S1983-41952022000500007

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Revista IBRACON de Estruturas e Materiais

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ORIGINAL ARTICLE • Rev. IBRACON Estrut. Mater. 15 (5) • 2022 • https://doi.org/10.1590/S1983-41952022000500007 copy

Numerical-experimental study of neighboring wind effects on tall buildings related to serviceability via reliability

Estudo numérico-experimental do efeito de vizinhança em edifícios altos devido ao vento relacionado ao desempenho via confiabilidade

Authorship SCIMAGO INSTITUTIONS RANKINGS

abstract:

In this paper a reliability analysis was carried out, regarding the dynamic responses of displacements and accelerations in the x and y directions at the top of CAARC standard tall building, determined by the numerical-experimental High Frequency Pressure Integration technique (HFPI). The building was studied on distinct angles, subjected to dynamic wind load, isolated and with the presence of different neighbors. Tendency curves and its equations for reliability indices and maximum responses, in relation to the directions adopted to the CAARC, were presented. With the results found, it was noticed that the existence of neighborhood affects the responses of maximums and the reliability indexes, both for increase and decrease compared to the isolated building, depending on the situation and the type of dynamic response.

Keywords:
neighboring wind effect; CAARC standard tall building; reliability analysis; serviceability limit states; wind tunnel

Case	Equation (a in cm/s², θ in degrees)
ISOL	$a = 0.00322649466 θ^{2} - 0.26920202633 θ + 9.54217009588$
A1V0	$a = - 0.04626394092 θ + 16.02953714301$
A1V90	$a = - 0.00000145621 θ^{4} + 0.00025747093 θ^{3} - 0.01420807803 θ^{2} + 0.29985226982 θ + 16.19668396384$
A2V0	$a = 0.00003492672 θ^{3} - 0.00219607915 θ^{2} - 0.04116526306 θ + 16.38529763276$
A2V90	$a = 0.00080252785 θ^{2} + 0.00664470193 θ + 13.60346271728$

Case	Equation (θ in degrees)
ISOL	$β = - 0.00146932996 θ^{2} + 0.12981266711 θ + 2.57205262632$
A1V0	$β = 0.00765277967 θ + 1.32789105421$
A2V0⁽¹ (1) 15° ≤ θ ≤ 90° ⁾	$β = - 0.00000414194 θ^{3} + 0.00031217082 θ^{2} - 0.00057472017 θ + 1.46658837097$
A2V90	$β = - 0.00000201249 θ^{3} + 0.00022316062 θ^{2} - 0.01401725187 θ + 1.78606764811$

Case	Equation (θ in degrees)
ISOL	$β = - 0.00116980962 θ^{2} + 0.10199172599 θ + 1.21195486620$
A1V0	$β = 0.00503726202 θ + 0.42494395416$
A2V0⁽¹ (1) 15° ≤ θ ≤ 90° ⁾	$β = - 0.00000289633 θ^{3} + 0.00022648384 θ^{2} - 0.00110330946 θ + 0.52415107267$
A2V90	$β = - 0.00000137478 θ^{3} + 0.00015040641 θ^{2} - 0.00929845907 θ + 0.72788265401$

Case	Equation (δ in cm, θ in degrees)
ISOL	$δ = 0.00000243750 θ^{4} - 0.00038084391 θ^{3} + 0.01871523135 θ^{2} - 0.45519144561 θ + 18.37256570311$
A1V0	$δ = - 0.00000067949 θ^{4} + 0.00013131267 θ^{3} - 0.00783375305 θ^{2} + 0.11333511500 θ + 12.49661161527$
A1V90	$δ = - 0.00000147515 θ^{4} + 0.00022909171 θ^{3} - 0.01084427710 θ^{2} + 0.21622552706 θ + 12.78190492008$
A2V0	$δ = 0.00000046673 θ^{4} - 0.00008515602 θ^{3} + 0.00545716405 θ^{2} - 0.10977872993 θ + 14.55982880157$
A2V90	$δ = 0.00000046673 θ^{4} - 0.00008515602 θ^{3} + 0.00545716405 θ^{2} - 0.10977872993 θ + 14.55982880157$

Case	Equation (θ in degrees)
ISOL	$β = - 0.00000125618 θ^{4} + 0.00015202590 θ^{3} - 0.00446868431 θ^{2} + 0.11701551307 θ + 0.96288728480$
A1V0	$β = - 0.00000588237 θ^{3} + 0.00078002016 θ^{2} - 0.01740613500 θ + 3.53397070912$
A1V90	$β = 0.00000025354 θ^{4} - 0.00003967843 θ^{3} + 0.00195835288 θ^{2} - 0.04623355684 θ + 3.43464839690$
A2V90	$β = 0.00033279869 θ^{2} - 0.03405888907 θ + 2.70661547010$

Case	Equation (θ in degrees)
ISOL	$β = - 0.00000147241 θ^{4} + 0.00019644177 θ^{3} - 0.00670360239 θ^{2} + 0.12047997468 θ - 0.22333710494$
A1V0	$β = - 0.00000483411 θ^{3} + 0.00063003749 θ^{2} - 0.01257125032 θ + 2.71007876232$
A1V90	$β = 0.00000020561 θ^{4} - 0.00003145656 θ^{3} + 0.00150597879 θ^{2} - 0.03556122350 θ + 2.65208371951$
A2V90	$β = 0.00028601107 θ^{2} - 0.02591674154 θ + 1.80221515335$

Case	Equation (a in cm/s², θ in degrees)
ISOL	$a = 0.00222569047 θ^{2} - 0.24056270368 θ + 9.50862110886$
A1V0	$a = - 0.00000113787 θ^{4} + 0.00026116579 θ^{3} - 0.01989267367 θ^{2} + 0.42605230345 θ + 13.46045121722$
A1V90	$a = 0.00033590550 θ^{2} - 0.13700081181 θ + 19.64238985631$
A2V0	$a = - 0.00000135470 θ^{4} + 0.00024807810 θ^{3} - 0.01273736636 θ^{2} + 0.06256934932 θ + 16.09125482850$
A2V90	$a = 0.00001211953 θ^{3} - 0.00141279387 θ^{2} - 0.04943298011 θ + 16.39962882958$

Case	Equation (θ in degrees)
ISOL⁽¹ (1) 0° ≤ θ ≤ 75°. (2) 15° ≤ θ ≤ 75°. ⁾	$β = - 0.00148794428 θ^{2} + 0.14605019324 θ + 2.86294662412$
A1V0	$β = - 0.00000422909 θ^{3} + 0.00102484613 θ^{2} - 0.03073933348 θ + 1.69813484928$
A1V90⁽2⁾	$β = 0.01946739050 θ + 0.79398583193$
A2V90	$β = - 0.00000194793 θ^{3} + 0.00030543111 θ^{2} + 0.00412179487 θ + 1.32500676872$

Case	Equation (δ in cm, θ in degrees)
ISOL	$δ = - 0.00004675523 θ^{3} + 0.00879898493 θ^{2} - 0.44558762299 θ + 12.78382700288$
A1V0	$δ = - 0.00000070265 θ^{4} + 0.00016195885 θ^{3} - 0.01232185548 θ^{2} + 0.27197840024 θ + 10.15315397798$
A1V90	$δ = - 0.00000045184 θ^{4} + 0.00012500732 θ^{3} - 0.01099325261 θ^{2} + 0.23897050657 θ + 13.22239123740$
A2V0	$δ = 0.00002658579 θ^{3} - 0.00336990404 θ^{2} + 0.04099838191 θ + 13.20726296445$
A2V90	$δ = 0.00003321477 θ^{3} - 0.00569216629 θ^{2} + 0.19283946697 θ + 13.72313240713$

Case	Equation (θ in degrees)
ISOL⁽¹ (1) 30° ≤ θ ≤ 90°. (2) 0° ≤ θ ≤ 75°. ⁾	$β = 0.00083392715 θ^{2} - 0.18528235305 θ + 15.79946291693$
A1V0	$β = - 0.00001541544 θ^{3} + 0.00244201647 θ^{2} - 0.06966440214 θ + 4.16622278539$
A1V90⁽2⁾	$β = - 0.00000800179 θ^{3} + 0.00154354115 θ^{2} - 0.03515541278 θ + 3.13810043460$
A2V90	$β = - 0.00000020455 θ^{4} + 0.00003096912 θ^{3} - 0.00073088314 θ^{2} - 0.00953369294 θ + 3.01199256773$

IBRACON - Instituto Brasileiro do Concreto Instituto Brasileiro do Concreto (IBRACON), Av. Queiroz Filho, nº 1700 sala 407/408 Torre D, Villa Lobos Office Park, CEP 05319-000, São Paulo, SP - Brasil, Tel. (55 11) 3735-0202, Fax: (55 11) 3733-2190 - São Paulo - SP - Brazil
E-mail: arlene@ibracon.org.br

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[1] Corresponding author: Matheus Nunes Reis. E-mail: matheusnreis95@gmail.com